Greatest Common Factor of 947/264, 272/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 947/264, 272/854

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 947/264,272/854

Given fractions are 947/264,272/854

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 947,272

Greatest Common Factor of Numerators i.e. GCF of 947,272 is 1 .

LCM of Denominators means LCM of 264,854 as per the given fractions.

LCM of 264,854 is 112728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 947,272

GCF of Fractions 947/264,272/854 is 1/112728

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 947,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,272 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 947,272 . The biggest common factor number is the GCF number.
So the greatest common factor 947,272 is 1.

Lets's calculate LCM of 264,854

2 264, 854
132, 427

∴ So the LCM of the given numbers is 2 x 132 x 427 = 112728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112728

Therefore, the GCF of Fractions 947/264,272/854 is 1/112728

Least Common Multiple of 264,854 with GCF Formula

Least Common Multiple of 264,854 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 264,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,854) = 2

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

GCF(264,854) x common factors =2 x 1 = 2

LCM(264,854) = ( 264 × 854 ) / 2

LCM(264,854) = 225456 / 2

LCM(264,854) = 112728


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 947/264, 272/854

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 947/264, 272/854?

Answer: GCF of Numerators as per given numbers 947/264, 272/854 is

GCF of Numerators i.e. for 947,272 is 1

LCM of denominators i.e. for 264,854 is 112728.

Thus, GCF of Fractions is 1/112728.Finally, GCF of Fractions for 947/264, 272/854 is 1/112728.