Greatest Common Factor of 8640/98, 2952/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8640/98, 2952/524

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 8640/98,2952/524

Given fractions are 8640/98,2952/524

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 8640,2952

Greatest Common Factor of Numerators i.e. GCF of 8640,2952 is 72 .

LCM of Denominators means LCM of 98,524 as per the given fractions.

LCM of 98,524 is 25676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8640,2952

GCF of Fractions 8640/98,2952/524 is 72/25676

2 8640, 2952
2 4320, 1476
2 2160, 738
3 1080, 369
3 360, 123
120, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Greatest Common Factor of 8640,2952 By Matching Biggest Common Factor Method

Greatest Common Factor of 8640,2952 By Matching Biggest Common Factor Method

Factors of 8640

List of positive integer factors of 8640 that divides 8640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952

Greatest Common Factor

We found the factors 8640,2952 . The biggest common factor number is the GCF number.
So the greatest common factor 8640,2952 is 72.

Lets's calculate LCM of 98,524

2 98, 524
49, 262

∴ So the LCM of the given numbers is 2 x 49 x 262 = 25676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/25676

Therefore, the GCF of Fractions 8640/98,2952/524 is 72/25676

Least Common Multiple of 98,524 with GCF Formula

Least Common Multiple of 98,524 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 98,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,524) = 2

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

GCF(98,524) x common factors =2 x 1 = 2

LCM(98,524) = ( 98 × 524 ) / 2

LCM(98,524) = 51352 / 2

LCM(98,524) = 25676


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 8640/98, 2952/524

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 8640/98, 2952/524?

Answer: GCF of Numerators as per given numbers 8640/98, 2952/524 is

GCF of Numerators i.e. for 8640,2952 is 72

LCM of denominators i.e. for 98,524 is 25676.

Thus, GCF of Fractions is 72/25676.Finally, GCF of Fractions for 8640/98, 2952/524 is 72/25676.