Greatest Common Factor of 9371/750, 2525/7950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9371/750, 2525/7950

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 9371/750,2525/7950

Given fractions are 9371/750,2525/7950

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 9371,2525

Greatest Common Factor of Numerators i.e. GCF of 9371,2525 is 1 .

LCM of Denominators means LCM of 750,7950 as per the given fractions.

LCM of 750,7950 is 39750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9371,2525

GCF of Fractions 9371/750,2525/7950 is 1/39750

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

Greatest Common Factor of 9371,2525 By Matching Biggest Common Factor Method

Greatest Common Factor of 9371,2525 By Matching Biggest Common Factor Method

Factors of 9371

List of positive integer factors of 9371 that divides 9371 without a remainder.

1,9371

Factors of 2525

List of positive integer factors of 2525 that divides 2525 without a remainder.

1,5,25,101,505,2525

Greatest Common Factor

We found the factors 9371,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 9371,2525 is 1.

Lets's calculate LCM of 750,7950

2 750, 7950
3 375, 3975
5 125, 1325
5 25, 265
5, 53

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 5 x 53 = 39750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39750

Therefore, the GCF of Fractions 9371/750,2525/7950 is 1/39750

Least Common Multiple of 750,7950 with GCF Formula

Least Common Multiple of 750,7950 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 750,7950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,7950) = 150

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

GCF(750,7950) x common factors =150 x 1 = 150

LCM(750,7950) = ( 750 × 7950 ) / 150

LCM(750,7950) = 5962500 / 150

LCM(750,7950) = 39750


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 9371/750, 2525/7950

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 9371/750, 2525/7950?

Answer: GCF of Numerators as per given numbers 9371/750, 2525/7950 is

GCF of Numerators i.e. for 9371,2525 is 1

LCM of denominators i.e. for 750,7950 is 39750.

Thus, GCF of Fractions is 1/39750.Finally, GCF of Fractions for 9371/750, 2525/7950 is 1/39750.