Greatest Common Factor of 2791/956, 1997/8542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2791/956, 1997/8542

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 2791/956,1997/8542

Given fractions are 2791/956,1997/8542

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 2791,1997

Greatest Common Factor of Numerators i.e. GCF of 2791,1997 is 1 .

LCM of Denominators means LCM of 956,8542 as per the given fractions.

LCM of 956,8542 is 4083076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2791,1997

GCF of Fractions 2791/956,1997/8542 is 1/4083076

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

Greatest Common Factor of 2791,1997 By Matching Biggest Common Factor Method

Greatest Common Factor of 2791,1997 By Matching Biggest Common Factor Method

Factors of 2791

List of positive integer factors of 2791 that divides 2791 without a remainder.

1,2791

Factors of 1997

List of positive integer factors of 1997 that divides 1997 without a remainder.

1,1997

Greatest Common Factor

We found the factors 2791,1997 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,1997 is 1.

Lets's calculate LCM of 956,8542

2 956, 8542
478, 4271

∴ So the LCM of the given numbers is 2 x 478 x 4271 = 4083076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4083076

Therefore, the GCF of Fractions 2791/956,1997/8542 is 1/4083076

Least Common Multiple of 956,8542 with GCF Formula

Least Common Multiple of 956,8542 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 956,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,8542) = 2

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

GCF(956,8542) x common factors =2 x 1 = 2

LCM(956,8542) = ( 956 × 8542 ) / 2

LCM(956,8542) = 8166152 / 2

LCM(956,8542) = 4083076


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 2791/956, 1997/8542

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 2791/956, 1997/8542?

Answer: GCF of Numerators as per given numbers 2791/956, 1997/8542 is

GCF of Numerators i.e. for 2791,1997 is 1

LCM of denominators i.e. for 956,8542 is 4083076.

Thus, GCF of Fractions is 1/4083076.Finally, GCF of Fractions for 2791/956, 1997/8542 is 1/4083076.