Greatest Common Factor of 5762/971, 5422/8736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5762/971, 5422/8736

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 5762/971,5422/8736

Given fractions are 5762/971,5422/8736

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 5762,5422

Greatest Common Factor of Numerators i.e. GCF of 5762,5422 is 2 .

LCM of Denominators means LCM of 971,8736 as per the given fractions.

LCM of 971,8736 is 8482656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5762,5422

GCF of Fractions 5762/971,5422/8736 is 2/8482656

2 5762, 5422
2881, 2711

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

Greatest Common Factor of 5762,5422 By Matching Biggest Common Factor Method

Greatest Common Factor of 5762,5422 By Matching Biggest Common Factor Method

Factors of 5762

List of positive integer factors of 5762 that divides 5762 without a remainder.

1,2,43,67,86,134,2881,5762

Factors of 5422

List of positive integer factors of 5422 that divides 5422 without a remainder.

1,2,2711,5422

Greatest Common Factor

We found the factors 5762,5422 . The biggest common factor number is the GCF number.
So the greatest common factor 5762,5422 is 2.

Lets's calculate LCM of 971,8736

Given numbers has no common factors except 1. So, there LCM is their product i.e 8482656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8482656

Therefore, the GCF of Fractions 5762/971,5422/8736 is 2/8482656

Least Common Multiple of 971,8736 with GCF Formula

Least Common Multiple of 971,8736 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 971,8736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,8736) = 1

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

GCF(971,8736) x common factors =1 x 1 = 1

LCM(971,8736) = ( 971 × 8736 ) / 1

LCM(971,8736) = 8482656 / 1

LCM(971,8736) = 8482656


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5762/971, 5422/8736

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 5762/971, 5422/8736?

Answer: GCF of Numerators as per given numbers 5762/971, 5422/8736 is

GCF of Numerators i.e. for 5762,5422 is 2

LCM of denominators i.e. for 971,8736 is 8482656.

Thus, GCF of Fractions is 2/8482656.Finally, GCF of Fractions for 5762/971, 5422/8736 is 2/8482656.