Greatest Common Factor of 756/51, 1422/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/51, 1422/744

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 756/51,1422/744

Given fractions are 756/51,1422/744

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 756,1422

Greatest Common Factor of Numerators i.e. GCF of 756,1422 is 18 .

LCM of Denominators means LCM of 51,744 as per the given fractions.

LCM of 51,744 is 12648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,1422

GCF of Fractions 756/51,1422/744 is 18/12648

2 756, 1422
3 378, 711
3 126, 237
42, 79

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 756,1422 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,1422 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 1422

List of positive integer factors of 1422 that divides 1422 without a remainder.

1,2,3,6,9,18,79,158,237,474,711,1422

Greatest Common Factor

We found the factors 756,1422 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1422 is 18.

Lets's calculate LCM of 51,744

3 51, 744
17, 248

∴ So the LCM of the given numbers is 3 x 17 x 248 = 12648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/12648

Therefore, the GCF of Fractions 756/51,1422/744 is 18/12648

Least Common Multiple of 51,744 with GCF Formula

Least Common Multiple of 51,744 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 51,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,744) = 3

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

GCF(51,744) x common factors =3 x 1 = 3

LCM(51,744) = ( 51 × 744 ) / 3

LCM(51,744) = 37944 / 3

LCM(51,744) = 12648


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 756/51, 1422/744

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 756/51, 1422/744?

Answer: GCF of Numerators as per given numbers 756/51, 1422/744 is

GCF of Numerators i.e. for 756,1422 is 18

LCM of denominators i.e. for 51,744 is 12648.

Thus, GCF of Fractions is 18/12648.Finally, GCF of Fractions for 756/51, 1422/744 is 18/12648.