Greatest Common Factor of 952/23, 641/31, 142/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/23, 641/31, 142/696

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 952/23,641/31,142/696

Given fractions are 952/23,641/31,142/696

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 952,641,142

Greatest Common Factor of Numerators i.e. GCF of 952,641,142 is 1 .

LCM of Denominators means LCM of 23,31,696 as per the given fractions.

LCM of 23,31,696 is 496248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,641,142

GCF of Fractions 952/23,641/31,142/696 is 1/496248

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

Greatest Common Factor of 952,641,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,641,142 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 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 952,641,142 . The biggest common factor number is the GCF number.
So the greatest common factor 952,641,142 is 1.

Lets's calculate LCM of 23,31,696

Given numbers has no common factors except 1. So, there LCM is their product i.e 496248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496248

Therefore, the GCF of Fractions 952/23,641/31,142/696 is 1/496248

Least Common Multiple of 23,31,696 with GCF Formula

Least Common Multiple of 23,31,696 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 23,31,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,31,696) = 1

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

GCF(23,31,696) x common factors =1 x 1 = 1

LCM(23,31,696) = ( 23 × 31 × 696 ) / 1

LCM(23,31,696) = 496248 / 1

LCM(23,31,696) = 496248


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 952/23, 641/31, 142/696

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 952/23, 641/31, 142/696?

Answer: GCF of Numerators as per given numbers 952/23, 641/31, 142/696 is

GCF of Numerators i.e. for 952,641,142 is 1

LCM of denominators i.e. for 23,31,696 is 496248.

Thus, GCF of Fractions is 1/496248.Finally, GCF of Fractions for 952/23, 641/31, 142/696 is 1/496248.