\textsf{ggT(84, 168) =  

\textsf{ggT(36, 60) =  

\textsf{ggT(234, 520) =  

\textsf{ggT(342, 567) = 

\textsf{ggT(212, 236) =

\textsf{ggT(116, 464) =

\textsf{ggT(24, 36, 48) = }

\textsf{ggT(48, 66, 84) = }

$\text{Überprüfen}$

$\text{Neuer Versuch}$

$\text{Neue Aufgabe}$

\textsf\colorbox{#ebe7f8}{
520 = 2 \cdot 2 \cdot 2 \cdot 5 \cdot 13\
234 = 2 \cdot 3 \cdot 3 \cdot 13}

No selection allowed for all input boxes

Selection allowed for all input boxes

Fix position and allow selection for all text objects

Empty all input boxes

#EDEDED

\text{Text for just the correct answer.}

\underline\text{Helper scripts for template}

\underline\text{Helper scripts for authors}

$a=$

$b=$

\text{This hint is for typical misconceptions of\students. It is shown after any wrong answer\that shows the typical error.}

$\textsf{Los geht's!}$

$\textsf{Probiere es nochmal!}$

$\textsf{Weiter}$

testReset

\textsf{Nora hat Tee über ihr Lösungsheft geschüttet und dabei die Lösungen\von ggT-Aufgaben überdeckt.\

}

\textsf\colorbox{#ebe7f8}{
342 = 2 \cdot 3 \cdot 3 \cdot 19\
567 = 3 \cdot 3 \cdot 3 \cdot 3 \cdot 7}

\textsf\colorbox{#ebe7f8}{
212 = 2 \cdot 2 \cdot 53\
236 = 2 \cdot 2 \cdot 59}

\textsf\colorbox{#ebe7f8}{
116 = 2 \cdot 2 \cdot 29\
464 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 29}

\textsf\colorbox{#ebe7f8}{
24 = 2 \cdot 2 \cdot 2 \cdot 3\
36 = 2 \cdot 2 \cdot 3 \cdot 3\
48 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3
}

\textsf\colorbox{#ebe7f8}{
48 = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3\
66 = 2 \cdot 3 \cdot 11\
84 = 2 \cdot 2 \cdot 3 \cdot 7
}

|\|\|\|\|\|\|\|\|\|\|\|\|\|\|\|\|\|\|\|

--------------------------------------------------------------------------------------------------------------------------------------------

\textsf{\textcolor{#006758}{Lösung:}}

\textsf{Bestimme zur Ermittlung des ggT die Primfaktorzerlegung der \beiden Zahlen auf einem Blatt Papier.

\textsf\colorbox{#ebe7f8}{
36 = 2 \cdot 2 \cdot 3 \cdot 3\
60 = 2 \cdot 2 \cdot 3 \cdot 5}

\textsf\colorbox{#ebe7f8}{
84 = 2 \cdot 2 \cdot 3 \cdot 7\
168 = 2 \cdot 2 \cdot 2 \cdot 3 \cdot 7}

\textsf{Hilf mir, alle 6 Lösungen wieder zu finden.}

BSAnswers

\textsf{\textcolor{#006758}{Lösung:}}

\textsf{\textcolor{#006758}{Lösung:}}

sol7: 12
sol8: 6
sol4: 9
sol1 = GCD(36, 60)
sol3: 26
sol5: 4
sol2 = GCD(84, 168)
sol6: 116
maxExNum: 8
exNum = 0
listeExVal: {0, 1, 2, 3, 4, 5, 6, 7, 8}
exVal: listeExVal(exNum + 1)
aInput = NaN
Blue = (-5.32, 4.5)
Green = (-5.28, 3.68)
Orange = (-5.2, 2.86)
Red = (-5.32, 2.04)
Purple = (-5.34, 1.12)
Gray = (-5.34, 0.32)
GrayDark = (-5.36, -0.7)
validate = false
showanswer = false
showsolution = false
attemptCount = 0
correctCount = 0
showButtonNew = false
showButtonTryAgain = false
showButtonValidate = true
showhint = false
InputBox1 = Textfield(aInput)
bInput = NaN
InputBox2 = Textfield(bInput)
listeSol: {sol1, sol2, sol3, sol4, sol5, sol6, sol7, sol8}
correct: aInput ≟ listeSol(exVal)
showcorrecttext = false
questionCount = 48
PtopLeftCornerFeedback = (3.929497949793833, 7.306250473732035)
PbottomRightCornerFeedback = (5.662167967259239, 6.223331712816146)
PtopRightCornerFeedback: (x(PbottomRightCornerFeedback), y(PtopLeftCornerFeedback))
PbottomLeftCornerFeedback: (x(PtopLeftCornerFeedback), y(PbottomRightCornerFeedback))
rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback = Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback)
showhinttypicalerror = false
correctText: "\text{" + (LaTeX[If[correct, "✓ Richtig", "✘ Falsch"]]) + "}"
isTypicalError: bInput ≟ aInput + 1
allowCountIncrement = true
randomNosForX = Shuffle(Sequence[Random[0, 10], i, 1, 100])
numX = Element(randomNosForX, Mod[questionCount, 100] + 1)
randomNosForY = Shuffle(Sequence[Random[0, 10], i, 1, 100])
numY = Element(randomNosForY, Mod[questionCount, 100] + 1)
stayX = Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100])
stayY = Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100])
randomNosForXwithoutRepeat = Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100])
randomNosForYwithoutRepeat = Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100])
numXwithoutRepeat = Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1)
numYwithoutRepeat = Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1)
listeText: {Text14, Text15, Text1, Text2, Text3, Text4, Text5, Text11}
Pic31_{1} = (-2.9995413340664014, 10.015188162023144)
Pic32_{1} = (9.97907593691026, 10.03159602203702)
C = (10.02829951695189, 1.9753367552233587)
D = (-2.9995413340664014, 1.9753367552233587)
showButtonKlickMich = true
exCount = 0
Pic31 = (0.9022477772335353, 5.4439583621569785)
Pic32 = (5.9099266534687755, 5.207685177957149)
Pic11 = (1.6602909098746497, 5.240500897984903)
Pic12 = (5.368467273010838, 5.240500897984903)
Pic21 = (1.9523508181216607, 5.4931819421986114)
Pic22 = (4.941862912650039, 5.486618798193061)
Text6: "\textsf{Du hast " + (LaTeX[correctCount]) + " von " + (LaTeX[maxExNum]) + " Aufgaben gelöst!"
textCountCorrect: "\text{Richtig gelöste Aufgaben: " + (LaTeX[correctCount]) + " }"
Text7: "\textsf{" + (LaTeX[exNum]) + "/" + (LaTeX[maxExNum]) + "}"
NoraAnchor_1 = (4.830237716702175, 4.094637911572585)
NoraAnchor_2 = (8.430237716702175, 4.094637911572585)
KlecksAnchor_1 = (0.6626930210309371, 5.75406691641926)
KlecksAnchor_2 = (2.828530542862698, 5.573580456266613)
questionText: "\text{" + (LaTeX[listeText(exVal)]) + "}"
A: (3.41511, 3)
B: (8.69434, 3)
E = (4.525103268297578, 6.042845252663498)
Vieleck1 = SpeechBubbleRight(E, 7, 1)
F: (-2.73948, 2.6)
G: (1.99829, 2.6)

Tool: SpeechBubbleLeft
SpeechBubbleLeft(<Point>,<width>,<hight>)
Input: C, width, hight
Output: poly1

width: 5
hight: 2
C: (-2, 2)
BLLC: (x(C) + 0.2, y(C) + 1)
BLC = Rotate(BLLC, -40°, C)
BRC: (x(BLC) + width, y(BLC))
TLC: (x(BLLC), y(BLLC) + hight)
TRC: (x(BRC), y(TLC))
poly1, c, bllc, tlc, trc, brc, blc = Polygon(C, BLLC, TLC, TRC, BRC, BLC)

Tool: SpeechBubbleRight
SpeechBubbleRight(<Point>,<width>,<hight>)
Input: C, width, hight
Output: poly1

width: 5
hight: 2
C: (-2, 2)
BLLC: (x(C) - 0.2, y(C) + 1)
BLC = Rotate(BLLC, 40°, C)
BRC: (x(BLC) - width, y(BLC))
TLC: (x(BLLC), y(BLLC) + hight)
TRC: (x(BRC), y(TLC))
poly1, c, bllc, tlc, trc, brc, blc = Polygon(C, BLLC, TLC, TRC, BRC, BLC)