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Popular Pre Algebra >

Find the GCF 36 , 54

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Solution

gcd

Solution

18
Solution steps
36,54
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
Prime factorization of 54:2⋅3⋅3⋅3
54
54divides by 254=27⋅2=2⋅27
27divides by 327=9⋅3=2⋅3⋅9
9divides by 39=3⋅3=2⋅3⋅3⋅3
2,3 are all prime numbers, therefore no further factorization is possible=2⋅3⋅3⋅3
The prime factors common to 36,54 are =2⋅3⋅3
Multiply the numbers: 2⋅3⋅3=18=18

Popular Examples

Convert to a Simplified Fraction 3.48Convert to a Mixed Number 16/12Reduce the Fraction 54/90Find the GCF 36 , 90Convert to a Simplified Fraction 3.16

Frequently Asked Questions (FAQ)

  • What is gcd 36,54 ?

    The solution to gcd 36,54 is 18

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