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Popular Pre Algebra >

Find the GCF 140 , 210

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Solution

gcd

Solution

70
Solution steps
140,210
Prime factorization of 140:2⋅2⋅5⋅7
140
140divides by 2140=70⋅2=2⋅70
70divides by 270=35⋅2=2⋅2⋅35
35divides by 535=7⋅5=2⋅2⋅5⋅7
2,5,7 are all prime numbers, therefore no further factorization is possible=2⋅2⋅5⋅7
Prime factorization of 210:2⋅3⋅5⋅7
210
210divides by 2210=105⋅2=2⋅105
105divides by 3105=35⋅3=2⋅3⋅35
35divides by 535=7⋅5=2⋅3⋅5⋅7
2,3,5,7 are all prime numbers, therefore no further factorization is possible=2⋅3⋅5⋅7
The prime factors common to 140,210 are =2⋅5⋅7
Multiply the numbers: 2⋅5⋅7=70=70

Popular Examples

Convert to a Percentage 0.0037Convert to a Simplified Fraction 1.83Multiply 165*2Convert to a Simplified Fraction 5.33333Divide 256/8

Frequently Asked Questions (FAQ)

  • What is gcd 140,210 ?

    The solution to gcd 140,210 is 70

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