Greatest Common Factor of 3171/279, 8640/4977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3171/279, 8640/4977

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 3171/279,8640/4977

Given fractions are 3171/279,8640/4977

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 3171,8640

Greatest Common Factor of Numerators i.e. GCF of 3171,8640 is 3 .

LCM of Denominators means LCM of 279,4977 as per the given fractions.

LCM of 279,4977 is 154287 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3171,8640

GCF of Fractions 3171/279,8640/4977 is 3/154287

3 3171, 8640
1057, 2880

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

Greatest Common Factor of 3171,8640 By Matching Biggest Common Factor Method

Greatest Common Factor of 3171,8640 By Matching Biggest Common Factor Method

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

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 3171,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 3171,8640 is 3.

Lets's calculate LCM of 279,4977

3 279, 4977
3 93, 1659
31, 553

∴ So the LCM of the given numbers is 3 x 3 x 31 x 553 = 154287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/154287

Therefore, the GCF of Fractions 3171/279,8640/4977 is 3/154287

Least Common Multiple of 279,4977 with GCF Formula

Least Common Multiple of 279,4977 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 279,4977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,4977) = 9

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

GCF(279,4977) x common factors =9 x 1 = 9

LCM(279,4977) = ( 279 × 4977 ) / 9

LCM(279,4977) = 1388583 / 9

LCM(279,4977) = 154287


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 3171/279, 8640/4977

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 3171/279, 8640/4977?

Answer: GCF of Numerators as per given numbers 3171/279, 8640/4977 is

GCF of Numerators i.e. for 3171,8640 is 3

LCM of denominators i.e. for 279,4977 is 154287.

Thus, GCF of Fractions is 3/154287.Finally, GCF of Fractions for 3171/279, 8640/4977 is 3/154287.