Greatest Common Factor of 5916/951, 7370/6498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5916/951, 7370/6498

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 5916/951,7370/6498

Given fractions are 5916/951,7370/6498

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 5916,7370

Greatest Common Factor of Numerators i.e. GCF of 5916,7370 is 2 .

LCM of Denominators means LCM of 951,6498 as per the given fractions.

LCM of 951,6498 is 2059866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5916,7370

GCF of Fractions 5916/951,7370/6498 is 2/2059866

2 5916, 7370
2958, 3685

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

Greatest Common Factor of 5916,7370 By Matching Biggest Common Factor Method

Greatest Common Factor of 5916,7370 By Matching Biggest Common Factor Method

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1,2,5,10,11,22,55,67,110,134,335,670,737,1474,3685,7370

Greatest Common Factor

We found the factors 5916,7370 . The biggest common factor number is the GCF number.
So the greatest common factor 5916,7370 is 2.

Lets's calculate LCM of 951,6498

3 951, 6498
317, 2166

∴ So the LCM of the given numbers is 3 x 317 x 2166 = 2059866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2059866

Therefore, the GCF of Fractions 5916/951,7370/6498 is 2/2059866

Least Common Multiple of 951,6498 with GCF Formula

Least Common Multiple of 951,6498 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 951,6498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,6498) = 3

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

GCF(951,6498) x common factors =3 x 1 = 3

LCM(951,6498) = ( 951 × 6498 ) / 3

LCM(951,6498) = 6179598 / 3

LCM(951,6498) = 2059866


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 5916/951, 7370/6498

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 5916/951, 7370/6498?

Answer: GCF of Numerators as per given numbers 5916/951, 7370/6498 is

GCF of Numerators i.e. for 5916,7370 is 2

LCM of denominators i.e. for 951,6498 is 2059866.

Thus, GCF of Fractions is 2/2059866.Finally, GCF of Fractions for 5916/951, 7370/6498 is 2/2059866.