Greatest Common Factor of 1144/255, 6916/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1144/255, 6916/524

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 1144/255,6916/524

Given fractions are 1144/255,6916/524

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 1144,6916

Greatest Common Factor of Numerators i.e. GCF of 1144,6916 is 52 .

LCM of Denominators means LCM of 255,524 as per the given fractions.

LCM of 255,524 is 133620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1144,6916

GCF of Fractions 1144/255,6916/524 is 52/133620

2 1144, 6916
2 572, 3458
13 286, 1729
22, 133

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Greatest Common Factor of 1144,6916 By Matching Biggest Common Factor Method

Greatest Common Factor of 1144,6916 By Matching Biggest Common Factor Method

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Factors of 6916

List of positive integer factors of 6916 that divides 6916 without a remainder.

1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916

Greatest Common Factor

We found the factors 1144,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,6916 is 52.

Lets's calculate LCM of 255,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 133620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/133620

Therefore, the GCF of Fractions 1144/255,6916/524 is 52/133620

Least Common Multiple of 255,524 with GCF Formula

Least Common Multiple of 255,524 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 255,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(255,524) = 1

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

GCF(255,524) x common factors =1 x 1 = 1

LCM(255,524) = ( 255 × 524 ) / 1

LCM(255,524) = 133620 / 1

LCM(255,524) = 133620


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 1144/255, 6916/524

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 1144/255, 6916/524?

Answer: GCF of Numerators as per given numbers 1144/255, 6916/524 is

GCF of Numerators i.e. for 1144,6916 is 52

LCM of denominators i.e. for 255,524 is 133620.

Thus, GCF of Fractions is 52/133620.Finally, GCF of Fractions for 1144/255, 6916/524 is 52/133620.