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Popular Pre Algebra >

Find the GCF 270 , 360

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Solution

gcd

Solution

90
Solution steps
270,360
Prime factorization of 270:2⋅3⋅3⋅3⋅5
270
270divides by 2270=135⋅2=2⋅135
135divides by 3135=45⋅3=2⋅3⋅45
45divides by 345=15⋅3=2⋅3⋅3⋅15
15divides by 315=5⋅3=2⋅3⋅3⋅3⋅5
2,3,5 are all prime numbers, therefore no further factorization is possible=2⋅3⋅3⋅3⋅5
Prime factorization of 360:2⋅2⋅2⋅3⋅3⋅5
360
360divides by 2360=180⋅2=2⋅180
180divides by 2180=90⋅2=2⋅2⋅90
90divides by 290=45⋅2=2⋅2⋅2⋅45
45divides by 345=15⋅3=2⋅2⋅2⋅3⋅15
15divides by 315=5⋅3=2⋅2⋅2⋅3⋅3⋅5
2,3,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅3⋅3⋅5
The prime factors common to 270,360 are =2⋅3⋅3⋅5
Multiply the numbers: 2⋅3⋅3⋅5=90=90

Popular Examples

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Frequently Asked Questions (FAQ)

  • What is gcd 270,360 ?

    The solution to gcd 270,360 is 90

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