Greatest Common Factor of 8762/252, 5076/9209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8762/252, 5076/9209

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 8762/252,5076/9209

Given fractions are 8762/252,5076/9209

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 8762,5076

Greatest Common Factor of Numerators i.e. GCF of 8762,5076 is 2 .

LCM of Denominators means LCM of 252,9209 as per the given fractions.

LCM of 252,9209 is 2320668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8762,5076

GCF of Fractions 8762/252,5076/9209 is 2/2320668

2 8762, 5076
4381, 2538

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8762,5076 By Matching Biggest Common Factor Method

Greatest Common Factor of 8762,5076 By Matching Biggest Common Factor Method

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Factors of 5076

List of positive integer factors of 5076 that divides 5076 without a remainder.

1,2,3,4,6,9,12,18,27,36,47,54,94,108,141,188,282,423,564,846,1269,1692,2538,5076

Greatest Common Factor

We found the factors 8762,5076 . The biggest common factor number is the GCF number.
So the greatest common factor 8762,5076 is 2.

Lets's calculate LCM of 252,9209

Given numbers has no common factors except 1. So, there LCM is their product i.e 2320668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2320668

Therefore, the GCF of Fractions 8762/252,5076/9209 is 2/2320668

Least Common Multiple of 252,9209 with GCF Formula

Least Common Multiple of 252,9209 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 252,9209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,9209) = 1

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

GCF(252,9209) x common factors =1 x 1 = 1

LCM(252,9209) = ( 252 × 9209 ) / 1

LCM(252,9209) = 2320668 / 1

LCM(252,9209) = 2320668


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8762/252, 5076/9209

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 8762/252, 5076/9209?

Answer: GCF of Numerators as per given numbers 8762/252, 5076/9209 is

GCF of Numerators i.e. for 8762,5076 is 2

LCM of denominators i.e. for 252,9209 is 2320668.

Thus, GCF of Fractions is 2/2320668.Finally, GCF of Fractions for 8762/252, 5076/9209 is 2/2320668.