Greatest Common Factor of 87/59, 20/239, 929/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 87/59, 20/239, 929/671

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 87/59,20/239,929/671

Given fractions are 87/59,20/239,929/671

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 87,20,929

Greatest Common Factor of Numerators i.e. GCF of 87,20,929 is 1 .

LCM of Denominators means LCM of 59,239,671 as per the given fractions.

LCM of 59,239,671 is 9461771 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 87,20,929

GCF of Fractions 87/59,20/239,929/671 is 1/9461771

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 87,20,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,20,929 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 87,20,929 . The biggest common factor number is the GCF number.
So the greatest common factor 87,20,929 is 1.


Lets's calculate LCM of 59,239,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 9461771

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9461771

Therefore, the GCF of Fractions 87/59,20/239,929/671 is 1/9461771

Least Common Multiple of 59,239,671 with GCF Formula

Least Common Multiple of 59,239,671 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 59,239,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,239,671) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(59,239,671) x common factors =1 x 1 = 1

LCM(59,239,671) = ( 59 × 239 × 671 ) / 1

LCM(59,239,671) = 9461771 / 1

LCM(59,239,671) = 9461771


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 87/59, 20/239, 929/671

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 87/59, 20/239, 929/671?

Answer: GCF of Numerators as per given numbers 87/59, 20/239, 929/671 is

GCF of Numerators i.e. for 87,20,929 is 1

LCM of denominators i.e. for 59,239,671 is 9461771.

Thus, GCF of Fractions is 1/9461771.Finally, GCF of Fractions for 87/59, 20/239, 929/671 is 1/9461771.