Greatest Common Factor of 7720/849, 5676/7931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7720/849, 5676/7931

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 7720/849,5676/7931

Given fractions are 7720/849,5676/7931

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 7720,5676

Greatest Common Factor of Numerators i.e. GCF of 7720,5676 is 4 .

LCM of Denominators means LCM of 849,7931 as per the given fractions.

LCM of 849,7931 is 6733419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7720,5676

GCF of Fractions 7720/849,5676/7931 is 4/6733419

2 7720, 5676
2 3860, 2838
1930, 1419

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

Greatest Common Factor of 7720,5676 By Matching Biggest Common Factor Method

Greatest Common Factor of 7720,5676 By Matching Biggest Common Factor Method

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720

Factors of 5676

List of positive integer factors of 5676 that divides 5676 without a remainder.

1,2,3,4,6,11,12,22,33,43,44,66,86,129,132,172,258,473,516,946,1419,1892,2838,5676

Greatest Common Factor

We found the factors 7720,5676 . The biggest common factor number is the GCF number.
So the greatest common factor 7720,5676 is 4.

Lets's calculate LCM of 849,7931

Given numbers has no common factors except 1. So, there LCM is their product i.e 6733419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6733419

Therefore, the GCF of Fractions 7720/849,5676/7931 is 4/6733419

Least Common Multiple of 849,7931 with GCF Formula

Least Common Multiple of 849,7931 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 849,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,7931) = 1

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

GCF(849,7931) x common factors =1 x 1 = 1

LCM(849,7931) = ( 849 × 7931 ) / 1

LCM(849,7931) = 6733419 / 1

LCM(849,7931) = 6733419


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 7720/849, 5676/7931

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 7720/849, 5676/7931?

Answer: GCF of Numerators as per given numbers 7720/849, 5676/7931 is

GCF of Numerators i.e. for 7720,5676 is 4

LCM of denominators i.e. for 849,7931 is 6733419.

Thus, GCF of Fractions is 4/6733419.Finally, GCF of Fractions for 7720/849, 5676/7931 is 4/6733419.