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Popular Pre Algebra >

Find the GCF 180 315

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Solution

gcd

Solution

45
Solution steps
180,315
Prime factorization of 180:2⋅2⋅3⋅3⋅5
180
180divides by 2180=90⋅2=2⋅90
90divides by 290=45⋅2=2⋅2⋅45
45divides by 345=15⋅3=2⋅2⋅3⋅15
15divides by 315=5⋅3=2⋅2⋅3⋅3⋅5
2,3,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅3⋅5
Prime factorization of 315:3⋅3⋅5⋅7
315
315divides by 3315=105⋅3=3⋅105
105divides by 3105=35⋅3=3⋅3⋅35
35divides by 535=7⋅5=3⋅3⋅5⋅7
3,5,7 are all prime numbers, therefore no further factorization is possible=3⋅3⋅5⋅7
The prime factors common to 180,315 are =3⋅3⋅5
Multiply the numbers: 3⋅3⋅5=45=45

Popular Examples

Find the GCF 48 , 72 , 96Convert to a Mixed Number 29/7Convert to a Simplified Fraction 0.81Subtract 180-66Convert to a Mixed Number 3/10

Frequently Asked Questions (FAQ)

  • What is gcd 180,315 ?

    The solution to gcd 180,315 is 45

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