Greatest Common Factor of 2124/744, 2704/9372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2124/744, 2704/9372

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 2124/744,2704/9372

Given fractions are 2124/744,2704/9372

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 2124,2704

Greatest Common Factor of Numerators i.e. GCF of 2124,2704 is 4 .

LCM of Denominators means LCM of 744,9372 as per the given fractions.

LCM of 744,9372 is 581064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2124,2704

GCF of Fractions 2124/744,2704/9372 is 4/581064

2 2124, 2704
2 1062, 1352
531, 676

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2124,2704 By Matching Biggest Common Factor Method

Greatest Common Factor of 2124,2704 By Matching Biggest Common Factor Method

Factors of 2124

List of positive integer factors of 2124 that divides 2124 without a remainder.

1,2,3,4,6,9,12,18,36,59,118,177,236,354,531,708,1062,2124

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

Greatest Common Factor

We found the factors 2124,2704 . The biggest common factor number is the GCF number.
So the greatest common factor 2124,2704 is 4.

Lets's calculate LCM of 744,9372

2 744, 9372
2 372, 4686
3 186, 2343
62, 781

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 781 = 581064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/581064

Therefore, the GCF of Fractions 2124/744,2704/9372 is 4/581064

Least Common Multiple of 744,9372 with GCF Formula

Least Common Multiple of 744,9372 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 744,9372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,9372) = 12

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

GCF(744,9372) x common factors =12 x 1 = 12

LCM(744,9372) = ( 744 × 9372 ) / 12

LCM(744,9372) = 6972768 / 12

LCM(744,9372) = 581064


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 2124/744, 2704/9372

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 2124/744, 2704/9372?

Answer: GCF of Numerators as per given numbers 2124/744, 2704/9372 is

GCF of Numerators i.e. for 2124,2704 is 4

LCM of denominators i.e. for 744,9372 is 581064.

Thus, GCF of Fractions is 4/581064.Finally, GCF of Fractions for 2124/744, 2704/9372 is 4/581064.