Greatest Common Factor of 696/875, 255/316, 971/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 696/875, 255/316, 971/239

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 696/875,255/316,971/239

Given fractions are 696/875,255/316,971/239

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 696,255,971

Greatest Common Factor of Numerators i.e. GCF of 696,255,971 is 1 .

LCM of Denominators means LCM of 875,316,239 as per the given fractions.

LCM of 875,316,239 is 66083500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,255,971

GCF of Fractions 696/875,255/316,971/239 is 1/66083500

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

Greatest Common Factor of 696,255,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,255,971 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Factors of 971

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

1,971

Greatest Common Factor

We found the factors 696,255,971 . The biggest common factor number is the GCF number.
So the greatest common factor 696,255,971 is 1.


Lets's calculate LCM of 875,316,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 66083500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66083500

Therefore, the GCF of Fractions 696/875,255/316,971/239 is 1/66083500

Least Common Multiple of 875,316,239 with GCF Formula

Least Common Multiple of 875,316,239 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 875,316,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,316,239) = 1

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

GCF(875,316,239) x common factors =1 x 1 = 1

LCM(875,316,239) = ( 875 × 316 × 239 ) / 1

LCM(875,316,239) = 66083500 / 1

LCM(875,316,239) = 66083500


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 696/875, 255/316, 971/239

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 696/875, 255/316, 971/239?

Answer: GCF of Numerators as per given numbers 696/875, 255/316, 971/239 is

GCF of Numerators i.e. for 696,255,971 is 1

LCM of denominators i.e. for 875,316,239 is 66083500.

Thus, GCF of Fractions is 1/66083500.Finally, GCF of Fractions for 696/875, 255/316, 971/239 is 1/66083500.