Greatest Common Factor of 5637/508, 2943/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5637/508, 2943/889

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 5637/508,2943/889

Given fractions are 5637/508,2943/889

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 5637,2943

Greatest Common Factor of Numerators i.e. GCF of 5637,2943 is 3 .

LCM of Denominators means LCM of 508,889 as per the given fractions.

LCM of 508,889 is 3556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5637,2943

GCF of Fractions 5637/508,2943/889 is 3/3556

3 5637, 2943
1879, 981

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5637,2943 By Matching Biggest Common Factor Method

Greatest Common Factor of 5637,2943 By Matching Biggest Common Factor Method

Factors of 5637

List of positive integer factors of 5637 that divides 5637 without a remainder.

1,3,1879,5637

Factors of 2943

List of positive integer factors of 2943 that divides 2943 without a remainder.

1,3,9,27,109,327,981,2943

Greatest Common Factor

We found the factors 5637,2943 . The biggest common factor number is the GCF number.
So the greatest common factor 5637,2943 is 3.

Lets's calculate LCM of 508,889

127 508, 889
4, 7

∴ So the LCM of the given numbers is 127 x 4 x 7 = 3556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3556

Therefore, the GCF of Fractions 5637/508,2943/889 is 3/3556

Least Common Multiple of 508,889 with GCF Formula

Least Common Multiple of 508,889 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 508,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,889) = 127

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

GCF(508,889) x common factors =127 x 1 = 127

LCM(508,889) = ( 508 × 889 ) / 127

LCM(508,889) = 451612 / 127

LCM(508,889) = 3556


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 5637/508, 2943/889

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 5637/508, 2943/889?

Answer: GCF of Numerators as per given numbers 5637/508, 2943/889 is

GCF of Numerators i.e. for 5637,2943 is 3

LCM of denominators i.e. for 508,889 is 3556.

Thus, GCF of Fractions is 3/3556.Finally, GCF of Fractions for 5637/508, 2943/889 is 3/3556.