Greatest Common Factor of 952/537, 971/448, 689/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/537, 971/448, 689/231

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 952/537,971/448,689/231

Given fractions are 952/537,971/448,689/231

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 952,971,689

Greatest Common Factor of Numerators i.e. GCF of 952,971,689 is 1 .

LCM of Denominators means LCM of 537,448,231 as per the given fractions.

LCM of 537,448,231 is 2646336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,971,689

GCF of Fractions 952/537,971/448,689/231 is 1/2646336

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

Greatest Common Factor of 952,971,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,971,689 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 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 952,971,689 . The biggest common factor number is the GCF number.
So the greatest common factor 952,971,689 is 1.

Lets's calculate LCM of 537,448,231

3 537, 448, 231
7 179, 448, 77
179, 64, 11

∴ So the LCM of the given numbers is 3 x 7 x 179 x 64 x 11 = 2646336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2646336

Therefore, the GCF of Fractions 952/537,971/448,689/231 is 1/2646336

Least Common Multiple of 537,448,231 with GCF Formula

Least Common Multiple of 537,448,231 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 537,448,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,448,231) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(537,448,231) x common factors =1 x 21 = 21

LCM(537,448,231) = ( 537 × 448 × 231 ) / 21

LCM(537,448,231) = 55573056 / 21

LCM(537,448,231) = 2646336


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 952/537, 971/448, 689/231

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 952/537, 971/448, 689/231?

Answer: GCF of Numerators as per given numbers 952/537, 971/448, 689/231 is

GCF of Numerators i.e. for 952,971,689 is 1

LCM of denominators i.e. for 537,448,231 is 2646336.

Thus, GCF of Fractions is 1/2646336.Finally, GCF of Fractions for 952/537, 971/448, 689/231 is 1/2646336.