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Question
Find Greatest Common Divisor of 4032066, 2010 and 8096384514, using prime factorization.
Answer
The GCD of given numbers is 6.
Explanation
Step 1 : Find prime factorization of each number.
4032066=2010=8096384514=2⋅3⋅19⋅113⋅3132⋅3⋅5⋅672⋅3⋅23⋅31⋅1892563(view steps on how to factor 4032066, 2010 and 8096384514. )
Step 2 : Put a box around factors that are common for all numbers:
4032066=2010=8096384514=2⋅3⋅19⋅113⋅3132⋅3⋅5⋅672⋅3⋅23⋅31⋅1892563Step 3 : Multiply the boxed numbers together:
GCD=2⋅3=6
This solution can be visualized using a Venn diagram.
0,0
4032066
2010
8096384514
2
3
19
113
313
5
67
23
31
1892563
The GCD equals the product of the numbers at the intersection.
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