Greatest Common Factor of 872/75, 878/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/75, 878/981

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 872/75,878/981

Given fractions are 872/75,878/981

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 872,878

Greatest Common Factor of Numerators i.e. GCF of 872,878 is 2 .

LCM of Denominators means LCM of 75,981 as per the given fractions.

LCM of 75,981 is 24525 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,878

GCF of Fractions 872/75,878/981 is 2/24525

2 872, 878
436, 439

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 872,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,878 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 872,878 . The biggest common factor number is the GCF number.
So the greatest common factor 872,878 is 2.

Lets's calculate LCM of 75,981

3 75, 981
25, 327

∴ So the LCM of the given numbers is 3 x 25 x 327 = 24525

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24525

Therefore, the GCF of Fractions 872/75,878/981 is 2/24525

Least Common Multiple of 75,981 with GCF Formula

Least Common Multiple of 75,981 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 75,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,981) = 3

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

GCF(75,981) x common factors =3 x 1 = 3

LCM(75,981) = ( 75 × 981 ) / 3

LCM(75,981) = 73575 / 3

LCM(75,981) = 24525


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 872/75, 878/981

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 872/75, 878/981?

Answer: GCF of Numerators as per given numbers 872/75, 878/981 is

GCF of Numerators i.e. for 872,878 is 2

LCM of denominators i.e. for 75,981 is 24525.

Thus, GCF of Fractions is 2/24525.Finally, GCF of Fractions for 872/75, 878/981 is 2/24525.