Greatest Common Factor of 7476/712, 4149/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7476/712, 4149/634

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 7476/712,4149/634

Given fractions are 7476/712,4149/634

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 7476,4149

Greatest Common Factor of Numerators i.e. GCF of 7476,4149 is 3 .

LCM of Denominators means LCM of 712,634 as per the given fractions.

LCM of 712,634 is 225704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7476,4149

GCF of Fractions 7476/712,4149/634 is 3/225704

3 7476, 4149
2492, 1383

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

Greatest Common Factor of 7476,4149 By Matching Biggest Common Factor Method

Greatest Common Factor of 7476,4149 By Matching Biggest Common Factor Method

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1,3,9,461,1383,4149

Greatest Common Factor

We found the factors 7476,4149 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,4149 is 3.

Lets's calculate LCM of 712,634

2 712, 634
356, 317

∴ So the LCM of the given numbers is 2 x 356 x 317 = 225704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/225704

Therefore, the GCF of Fractions 7476/712,4149/634 is 3/225704

Least Common Multiple of 712,634 with GCF Formula

Least Common Multiple of 712,634 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 712,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,634) = 2

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

GCF(712,634) x common factors =2 x 1 = 2

LCM(712,634) = ( 712 × 634 ) / 2

LCM(712,634) = 451408 / 2

LCM(712,634) = 225704


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 7476/712, 4149/634

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 7476/712, 4149/634?

Answer: GCF of Numerators as per given numbers 7476/712, 4149/634 is

GCF of Numerators i.e. for 7476,4149 is 3

LCM of denominators i.e. for 712,634 is 225704.

Thus, GCF of Fractions is 3/225704.Finally, GCF of Fractions for 7476/712, 4149/634 is 3/225704.