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Question
Find Greatest Common Divisor of 941688 and 133980, using prime factorization.
Answer
The GCD of given numbers is 3828.
Explanation
Step 1 : Find prime factorization of each number.
941688=133980=2⋅2⋅2⋅3⋅3⋅11⋅29⋅412⋅2⋅3⋅5⋅7⋅11⋅29(view steps on how to factor 941688 and 133980. )
Step 2 : Put a box around factors that are common for all numbers:
941688=133980=2⋅2⋅2⋅3⋅3⋅11⋅29⋅412⋅2⋅3⋅5⋅7⋅11⋅29Step 3 : Multiply the boxed numbers together:
GCD=2⋅2⋅3⋅11⋅29=3828
This solution can be visualized using a Venn diagram.
0,0
941688
133980
2
2
3
11
29
2
3
41
5
7
The GCD equals the product of the numbers at the intersection.
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