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Popular Pre Algebra >

Find the GCF 40 , 60 , 100

  • Pre Algebra
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Solution

gcd

Solution

20
Solution steps
40,60,100
Prime factorization of 40:2⋅2⋅2⋅5
40
40divides by 240=20⋅2=2⋅20
20divides by 220=10⋅2=2⋅2⋅10
10divides by 210=5⋅2=2⋅2⋅2⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅2⋅5
Prime factorization of 60:2⋅2⋅3⋅5
60
60divides by 260=30⋅2=2⋅30
30divides by 230=15⋅2=2⋅2⋅15
15divides by 315=5⋅3=2⋅2⋅3⋅5
2,3,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅3⋅5
Prime factorization of 100:2⋅2⋅5⋅5
100
100divides by 2100=50⋅2=2⋅50
50divides by 250=25⋅2=2⋅2⋅25
25divides by 525=5⋅5=2⋅2⋅5⋅5
2,5 are all prime numbers, therefore no further factorization is possible=2⋅2⋅5⋅5
The prime factors common to 40,60,100 are =2⋅2⋅5
Multiply the numbers: 2⋅2⋅5=20=20

Popular Examples

Evaluate 12/1.5Convert to a Simplified Fraction 4.9Round to the Nearest Hundredth 43.96Convert to a Mixed Number 78/5Subtract 180-46

Frequently Asked Questions (FAQ)

  • What is gcd 40,60,100 ?

    The solution to gcd 40,60,100 is 20

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