Greatest Common Factor of 2484/634, 7128/2892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2484/634, 7128/2892

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 2484/634,7128/2892

Given fractions are 2484/634,7128/2892

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 2484,7128

Greatest Common Factor of Numerators i.e. GCF of 2484,7128 is 108 .

LCM of Denominators means LCM of 634,2892 as per the given fractions.

LCM of 634,2892 is 916764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2484,7128

GCF of Fractions 2484/634,7128/2892 is 108/916764

2 2484, 7128
2 1242, 3564
3 621, 1782
3 207, 594
3 69, 198
23, 66

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

Greatest Common Factor of 2484,7128 By Matching Biggest Common Factor Method

Greatest Common Factor of 2484,7128 By Matching Biggest Common Factor Method

Factors of 2484

List of positive integer factors of 2484 that divides 2484 without a remainder.

1,2,3,4,6,9,12,18,23,27,36,46,54,69,92,108,138,207,276,414,621,828,1242,2484

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128

Greatest Common Factor

We found the factors 2484,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 2484,7128 is 108.

Lets's calculate LCM of 634,2892

2 634, 2892
317, 1446

∴ So the LCM of the given numbers is 2 x 317 x 1446 = 916764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 108/916764

Therefore, the GCF of Fractions 2484/634,7128/2892 is 108/916764

Least Common Multiple of 634,2892 with GCF Formula

Least Common Multiple of 634,2892 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 634,2892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,2892) = 2

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

GCF(634,2892) x common factors =2 x 1 = 2

LCM(634,2892) = ( 634 × 2892 ) / 2

LCM(634,2892) = 1833528 / 2

LCM(634,2892) = 916764


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 2484/634, 7128/2892

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 2484/634, 7128/2892?

Answer: GCF of Numerators as per given numbers 2484/634, 7128/2892 is

GCF of Numerators i.e. for 2484,7128 is 108

LCM of denominators i.e. for 634,2892 is 916764.

Thus, GCF of Fractions is 108/916764.Finally, GCF of Fractions for 2484/634, 7128/2892 is 108/916764.