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Popular Pre Algebra >

Find the GCF 63 , 36

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Solution

gcd

Solution

9
Solution steps
63,36
Prime factorization of 63:3⋅3⋅7
63
63divides by 363=21⋅3=3⋅21
21divides by 321=7⋅3=3⋅3⋅7
3,7 are all prime numbers, therefore no further factorization is possible=3⋅3⋅7
Prime factorization of 36:2⋅2⋅3⋅3
36
36divides by 236=18⋅2=2⋅18
18divides by 218=9⋅2=2⋅2⋅9
9divides by 39=3⋅3=2⋅2⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3
The prime factors common to 63,36 are =3⋅3
Multiply the numbers: 3⋅3=9=9

Popular Examples

Divide Using Long Division 9/2Reduce the Fraction 35/25Round to the Nearest Tenth 113.04Find the GCF 3x-9Convert to a Mixed Number 29/5

Frequently Asked Questions (FAQ)

  • What is gcd 63,36 ?

    The solution to gcd 63,36 is 9

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