Greatest Common Factor of 1272/336, 5654/8461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1272/336, 5654/8461

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 1272/336,5654/8461

Given fractions are 1272/336,5654/8461

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 1272,5654

Greatest Common Factor of Numerators i.e. GCF of 1272,5654 is 2 .

LCM of Denominators means LCM of 336,8461 as per the given fractions.

LCM of 336,8461 is 2842896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1272,5654

GCF of Fractions 1272/336,5654/8461 is 2/2842896

2 1272, 5654
636, 2827

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1272,5654 By Matching Biggest Common Factor Method

Greatest Common Factor of 1272,5654 By Matching Biggest Common Factor Method

Factors of 1272

List of positive integer factors of 1272 that divides 1272 without a remainder.

1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272

Factors of 5654

List of positive integer factors of 5654 that divides 5654 without a remainder.

1,2,11,22,257,514,2827,5654

Greatest Common Factor

We found the factors 1272,5654 . The biggest common factor number is the GCF number.
So the greatest common factor 1272,5654 is 2.

Lets's calculate LCM of 336,8461

Given numbers has no common factors except 1. So, there LCM is their product i.e 2842896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2842896

Therefore, the GCF of Fractions 1272/336,5654/8461 is 2/2842896

Least Common Multiple of 336,8461 with GCF Formula

Least Common Multiple of 336,8461 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 336,8461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,8461) = 1

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

GCF(336,8461) x common factors =1 x 1 = 1

LCM(336,8461) = ( 336 × 8461 ) / 1

LCM(336,8461) = 2842896 / 1

LCM(336,8461) = 2842896


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 1272/336, 5654/8461

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 1272/336, 5654/8461?

Answer: GCF of Numerators as per given numbers 1272/336, 5654/8461 is

GCF of Numerators i.e. for 1272,5654 is 2

LCM of denominators i.e. for 336,8461 is 2842896.

Thus, GCF of Fractions is 2/2842896.Finally, GCF of Fractions for 1272/336, 5654/8461 is 2/2842896.