Greatest Common Factor of 5756/976, 9770/6975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5756/976, 9770/6975

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 5756/976,9770/6975

Given fractions are 5756/976,9770/6975

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 5756,9770

Greatest Common Factor of Numerators i.e. GCF of 5756,9770 is 2 .

LCM of Denominators means LCM of 976,6975 as per the given fractions.

LCM of 976,6975 is 6807600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5756,9770

GCF of Fractions 5756/976,9770/6975 is 2/6807600

2 5756, 9770
2878, 4885

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

Greatest Common Factor of 5756,9770 By Matching Biggest Common Factor Method

Greatest Common Factor of 5756,9770 By Matching Biggest Common Factor Method

Factors of 5756

List of positive integer factors of 5756 that divides 5756 without a remainder.

1,2,4,1439,2878,5756

Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1,2,5,10,977,1954,4885,9770

Greatest Common Factor

We found the factors 5756,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 5756,9770 is 2.

Lets's calculate LCM of 976,6975

Given numbers has no common factors except 1. So, there LCM is their product i.e 6807600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6807600

Therefore, the GCF of Fractions 5756/976,9770/6975 is 2/6807600

Least Common Multiple of 976,6975 with GCF Formula

Least Common Multiple of 976,6975 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 976,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,6975) = 1

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

GCF(976,6975) x common factors =1 x 1 = 1

LCM(976,6975) = ( 976 × 6975 ) / 1

LCM(976,6975) = 6807600 / 1

LCM(976,6975) = 6807600


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 5756/976, 9770/6975

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 5756/976, 9770/6975?

Answer: GCF of Numerators as per given numbers 5756/976, 9770/6975 is

GCF of Numerators i.e. for 5756,9770 is 2

LCM of denominators i.e. for 976,6975 is 6807600.

Thus, GCF of Fractions is 2/6807600.Finally, GCF of Fractions for 5756/976, 9770/6975 is 2/6807600.