Greatest Common Factor of 572/85, 6764/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 572/85, 6764/976

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 572/85,6764/976

Given fractions are 572/85,6764/976

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 572,6764

Greatest Common Factor of Numerators i.e. GCF of 572,6764 is 4 .

LCM of Denominators means LCM of 85,976 as per the given fractions.

LCM of 85,976 is 82960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 572,6764

GCF of Fractions 572/85,6764/976 is 4/82960

2 572, 6764
2 286, 3382
143, 1691

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 572,6764 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,6764 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1,2,4,19,38,76,89,178,356,1691,3382,6764

Greatest Common Factor

We found the factors 572,6764 . The biggest common factor number is the GCF number.
So the greatest common factor 572,6764 is 4.

Lets's calculate LCM of 85,976

Given numbers has no common factors except 1. So, there LCM is their product i.e 82960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/82960

Therefore, the GCF of Fractions 572/85,6764/976 is 4/82960

Least Common Multiple of 85,976 with GCF Formula

Least Common Multiple of 85,976 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 85,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,976) = 1

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

GCF(85,976) x common factors =1 x 1 = 1

LCM(85,976) = ( 85 × 976 ) / 1

LCM(85,976) = 82960 / 1

LCM(85,976) = 82960


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 572/85, 6764/976

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 572/85, 6764/976?

Answer: GCF of Numerators as per given numbers 572/85, 6764/976 is

GCF of Numerators i.e. for 572,6764 is 4

LCM of denominators i.e. for 85,976 is 82960.

Thus, GCF of Fractions is 4/82960.Finally, GCF of Fractions for 572/85, 6764/976 is 4/82960.