Greatest Common Factor of 8911/75, 2910/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8911/75, 2910/125

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 8911/75,2910/125

Given fractions are 8911/75,2910/125

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 8911,2910

Greatest Common Factor of Numerators i.e. GCF of 8911,2910 is 1 .

LCM of Denominators means LCM of 75,125 as per the given fractions.

LCM of 75,125 is 375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8911,2910

GCF of Fractions 8911/75,2910/125 is 1/375

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

Greatest Common Factor of 8911,2910 By Matching Biggest Common Factor Method

Greatest Common Factor of 8911,2910 By Matching Biggest Common Factor Method

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1,7,19,67,133,469,1273,8911

Factors of 2910

List of positive integer factors of 2910 that divides 2910 without a remainder.

1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910

Greatest Common Factor

We found the factors 8911,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 8911,2910 is 1.

Lets's calculate LCM of 75,125

5 75, 125
5 15, 25
3, 5

∴ So the LCM of the given numbers is 5 x 5 x 3 x 5 = 375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375

Therefore, the GCF of Fractions 8911/75,2910/125 is 1/375

Least Common Multiple of 75,125 with GCF Formula

Least Common Multiple of 75,125 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 75,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,125) = 25

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

GCF(75,125) x common factors =25 x 1 = 25

LCM(75,125) = ( 75 × 125 ) / 25

LCM(75,125) = 9375 / 25

LCM(75,125) = 375


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 8911/75, 2910/125

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 8911/75, 2910/125?

Answer: GCF of Numerators as per given numbers 8911/75, 2910/125 is

GCF of Numerators i.e. for 8911,2910 is 1

LCM of denominators i.e. for 75,125 is 375.

Thus, GCF of Fractions is 1/375.Finally, GCF of Fractions for 8911/75, 2910/125 is 1/375.