Greatest Common Factor of 5624/955, 1264/6135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5624/955, 1264/6135

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 5624/955,1264/6135

Given fractions are 5624/955,1264/6135

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 5624,1264

Greatest Common Factor of Numerators i.e. GCF of 5624,1264 is 8 .

LCM of Denominators means LCM of 955,6135 as per the given fractions.

LCM of 955,6135 is 1171785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5624,1264

GCF of Fractions 5624/955,1264/6135 is 8/1171785

2 5624, 1264
2 2812, 632
2 1406, 316
703, 158

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 5624,1264 By Matching Biggest Common Factor Method

Greatest Common Factor of 5624,1264 By Matching Biggest Common Factor Method

Factors of 5624

List of positive integer factors of 5624 that divides 5624 without a remainder.

1,2,4,8,19,37,38,74,76,148,152,296,703,1406,2812,5624

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Greatest Common Factor

We found the factors 5624,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 5624,1264 is 8.

Lets's calculate LCM of 955,6135

5 955, 6135
191, 1227

∴ So the LCM of the given numbers is 5 x 191 x 1227 = 1171785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1171785

Therefore, the GCF of Fractions 5624/955,1264/6135 is 8/1171785

Least Common Multiple of 955,6135 with GCF Formula

Least Common Multiple of 955,6135 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 955,6135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,6135) = 5

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

GCF(955,6135) x common factors =5 x 1 = 5

LCM(955,6135) = ( 955 × 6135 ) / 5

LCM(955,6135) = 5858925 / 5

LCM(955,6135) = 1171785


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 5624/955, 1264/6135

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 5624/955, 1264/6135?

Answer: GCF of Numerators as per given numbers 5624/955, 1264/6135 is

GCF of Numerators i.e. for 5624,1264 is 8

LCM of denominators i.e. for 955,6135 is 1171785.

Thus, GCF of Fractions is 8/1171785.Finally, GCF of Fractions for 5624/955, 1264/6135 is 8/1171785.