Greatest Common Factor of 5514/361, 7896/2964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5514/361, 7896/2964

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 5514/361,7896/2964

Given fractions are 5514/361,7896/2964

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 5514,7896

Greatest Common Factor of Numerators i.e. GCF of 5514,7896 is 6 .

LCM of Denominators means LCM of 361,2964 as per the given fractions.

LCM of 361,2964 is 56316 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5514,7896

GCF of Fractions 5514/361,7896/2964 is 6/56316

2 5514, 7896
3 2757, 3948
919, 1316

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5514,7896 By Matching Biggest Common Factor Method

Greatest Common Factor of 5514,7896 By Matching Biggest Common Factor Method

Factors of 5514

List of positive integer factors of 5514 that divides 5514 without a remainder.

1,2,3,6,919,1838,2757,5514

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896

Greatest Common Factor

We found the factors 5514,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 5514,7896 is 6.

Lets's calculate LCM of 361,2964

19 361, 2964
19, 156

∴ So the LCM of the given numbers is 19 x 19 x 156 = 56316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/56316

Therefore, the GCF of Fractions 5514/361,7896/2964 is 6/56316

Least Common Multiple of 361,2964 with GCF Formula

Least Common Multiple of 361,2964 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 361,2964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,2964) = 19

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

GCF(361,2964) x common factors =19 x 1 = 19

LCM(361,2964) = ( 361 × 2964 ) / 19

LCM(361,2964) = 1070004 / 19

LCM(361,2964) = 56316


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 5514/361, 7896/2964

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 5514/361, 7896/2964?

Answer: GCF of Numerators as per given numbers 5514/361, 7896/2964 is

GCF of Numerators i.e. for 5514,7896 is 6

LCM of denominators i.e. for 361,2964 is 56316.

Thus, GCF of Fractions is 6/56316.Finally, GCF of Fractions for 5514/361, 7896/2964 is 6/56316.