Greatest Common Factor of 4970/641, 8640/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4970/641, 8640/564

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 4970/641,8640/564

Given fractions are 4970/641,8640/564

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 4970,8640

Greatest Common Factor of Numerators i.e. GCF of 4970,8640 is 10 .

LCM of Denominators means LCM of 641,564 as per the given fractions.

LCM of 641,564 is 361524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4970,8640

GCF of Fractions 4970/641,8640/564 is 10/361524

2 4970, 8640
5 2485, 4320
497, 864

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 4970,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 4970,8640 By Matching Biggest Common Factor Method

Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

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

Greatest Common Factor

We found the factors 4970,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 4970,8640 is 10.

Lets's calculate LCM of 641,564

Given numbers has no common factors except 1. So, there LCM is their product i.e 361524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/361524

Therefore, the GCF of Fractions 4970/641,8640/564 is 10/361524

Least Common Multiple of 641,564 with GCF Formula

Least Common Multiple of 641,564 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 641,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,564) = 1

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

GCF(641,564) x common factors =1 x 1 = 1

LCM(641,564) = ( 641 × 564 ) / 1

LCM(641,564) = 361524 / 1

LCM(641,564) = 361524


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 4970/641, 8640/564

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 4970/641, 8640/564?

Answer: GCF of Numerators as per given numbers 4970/641, 8640/564 is

GCF of Numerators i.e. for 4970,8640 is 10

LCM of denominators i.e. for 641,564 is 361524.

Thus, GCF of Fractions is 10/361524.Finally, GCF of Fractions for 4970/641, 8640/564 is 10/361524.