Greatest Common Factor of 952/65, 972/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/65, 972/943

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 952/65,972/943

Given fractions are 952/65,972/943

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 952,972

Greatest Common Factor of Numerators i.e. GCF of 952,972 is 4 .

LCM of Denominators means LCM of 65,943 as per the given fractions.

LCM of 65,943 is 61295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,972

GCF of Fractions 952/65,972/943 is 4/61295

2 952, 972
2 476, 486
238, 243

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 952,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,972 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 952,972 . The biggest common factor number is the GCF number.
So the greatest common factor 952,972 is 4.

Lets's calculate LCM of 65,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 61295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/61295

Therefore, the GCF of Fractions 952/65,972/943 is 4/61295

Least Common Multiple of 65,943 with GCF Formula

Least Common Multiple of 65,943 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 65,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,943) = 1

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

GCF(65,943) x common factors =1 x 1 = 1

LCM(65,943) = ( 65 × 943 ) / 1

LCM(65,943) = 61295 / 1

LCM(65,943) = 61295


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 952/65, 972/943

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 952/65, 972/943?

Answer: GCF of Numerators as per given numbers 952/65, 972/943 is

GCF of Numerators i.e. for 952,972 is 4

LCM of denominators i.e. for 65,943 is 61295.

Thus, GCF of Fractions is 4/61295.Finally, GCF of Fractions for 952/65, 972/943 is 4/61295.