Greatest Common Factor of 963/876, 6871/8518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 963/876, 6871/8518

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 963/876,6871/8518

Given fractions are 963/876,6871/8518

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 963,6871

Greatest Common Factor of Numerators i.e. GCF of 963,6871 is 1 .

LCM of Denominators means LCM of 876,8518 as per the given fractions.

LCM of 876,8518 is 3730884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 963,6871

GCF of Fractions 963/876,6871/8518 is 1/3730884

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

Greatest Common Factor of 963,6871 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,6871 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1,6871

Greatest Common Factor

We found the factors 963,6871 . The biggest common factor number is the GCF number.
So the greatest common factor 963,6871 is 1.

Lets's calculate LCM of 876,8518

2 876, 8518
438, 4259

∴ So the LCM of the given numbers is 2 x 438 x 4259 = 3730884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3730884

Therefore, the GCF of Fractions 963/876,6871/8518 is 1/3730884

Least Common Multiple of 876,8518 with GCF Formula

Least Common Multiple of 876,8518 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 876,8518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,8518) = 2

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

GCF(876,8518) x common factors =2 x 1 = 2

LCM(876,8518) = ( 876 × 8518 ) / 2

LCM(876,8518) = 7461768 / 2

LCM(876,8518) = 3730884


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 963/876, 6871/8518

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 963/876, 6871/8518?

Answer: GCF of Numerators as per given numbers 963/876, 6871/8518 is

GCF of Numerators i.e. for 963,6871 is 1

LCM of denominators i.e. for 876,8518 is 3730884.

Thus, GCF of Fractions is 1/3730884.Finally, GCF of Fractions for 963/876, 6871/8518 is 1/3730884.