Greatest Common Factor of 9377/32, 7575/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9377/32, 7575/227

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 9377/32,7575/227

Given fractions are 9377/32,7575/227

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 9377,7575

Greatest Common Factor of Numerators i.e. GCF of 9377,7575 is 1 .

LCM of Denominators means LCM of 32,227 as per the given fractions.

LCM of 32,227 is 7264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9377,7575

GCF of Fractions 9377/32,7575/227 is 1/7264

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

Greatest Common Factor of 9377,7575 By Matching Biggest Common Factor Method

Greatest Common Factor of 9377,7575 By Matching Biggest Common Factor Method

Factors of 9377

List of positive integer factors of 9377 that divides 9377 without a remainder.

1,9377

Factors of 7575

List of positive integer factors of 7575 that divides 7575 without a remainder.

1,3,5,15,25,75,101,303,505,1515,2525,7575

Greatest Common Factor

We found the factors 9377,7575 . The biggest common factor number is the GCF number.
So the greatest common factor 9377,7575 is 1.

Lets's calculate LCM of 32,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 7264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7264

Therefore, the GCF of Fractions 9377/32,7575/227 is 1/7264

Least Common Multiple of 32,227 with GCF Formula

Least Common Multiple of 32,227 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 32,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,227) = 1

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

GCF(32,227) x common factors =1 x 1 = 1

LCM(32,227) = ( 32 × 227 ) / 1

LCM(32,227) = 7264 / 1

LCM(32,227) = 7264


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 9377/32, 7575/227

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 9377/32, 7575/227?

Answer: GCF of Numerators as per given numbers 9377/32, 7575/227 is

GCF of Numerators i.e. for 9377,7575 is 1

LCM of denominators i.e. for 32,227 is 7264.

Thus, GCF of Fractions is 1/7264.Finally, GCF of Fractions for 9377/32, 7575/227 is 1/7264.