Greatest Common Factor of 5937/277, 2508/7220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5937/277, 2508/7220

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 5937/277,2508/7220

Given fractions are 5937/277,2508/7220

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 5937,2508

Greatest Common Factor of Numerators i.e. GCF of 5937,2508 is 3 .

LCM of Denominators means LCM of 277,7220 as per the given fractions.

LCM of 277,7220 is 1999940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5937,2508

GCF of Fractions 5937/277,2508/7220 is 3/1999940

3 5937, 2508
1979, 836

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

Greatest Common Factor of 5937,2508 By Matching Biggest Common Factor Method

Greatest Common Factor of 5937,2508 By Matching Biggest Common Factor Method

Factors of 5937

List of positive integer factors of 5937 that divides 5937 without a remainder.

1,3,1979,5937

Factors of 2508

List of positive integer factors of 2508 that divides 2508 without a remainder.

1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508

Greatest Common Factor

We found the factors 5937,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 5937,2508 is 3.

Lets's calculate LCM of 277,7220

Given numbers has no common factors except 1. So, there LCM is their product i.e 1999940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1999940

Therefore, the GCF of Fractions 5937/277,2508/7220 is 3/1999940

Least Common Multiple of 277,7220 with GCF Formula

Least Common Multiple of 277,7220 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 277,7220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,7220) = 1

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

GCF(277,7220) x common factors =1 x 1 = 1

LCM(277,7220) = ( 277 × 7220 ) / 1

LCM(277,7220) = 1999940 / 1

LCM(277,7220) = 1999940


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 5937/277, 2508/7220

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 5937/277, 2508/7220?

Answer: GCF of Numerators as per given numbers 5937/277, 2508/7220 is

GCF of Numerators i.e. for 5937,2508 is 3

LCM of denominators i.e. for 277,7220 is 1999940.

Thus, GCF of Fractions is 3/1999940.Finally, GCF of Fractions for 5937/277, 2508/7220 is 3/1999940.