Greatest Common Factor of 7377/504, 9628/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7377/504, 9628/121

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 7377/504,9628/121

Given fractions are 7377/504,9628/121

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 7377,9628

Greatest Common Factor of Numerators i.e. GCF of 7377,9628 is 1 .

LCM of Denominators means LCM of 504,121 as per the given fractions.

LCM of 504,121 is 60984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7377,9628

GCF of Fractions 7377/504,9628/121 is 1/60984

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

Greatest Common Factor of 7377,9628 By Matching Biggest Common Factor Method

Greatest Common Factor of 7377,9628 By Matching Biggest Common Factor Method

Factors of 7377

List of positive integer factors of 7377 that divides 7377 without a remainder.

1,3,2459,7377

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors 7377,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 7377,9628 is 1.

Lets's calculate LCM of 504,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 60984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60984

Therefore, the GCF of Fractions 7377/504,9628/121 is 1/60984

Least Common Multiple of 504,121 with GCF Formula

Least Common Multiple of 504,121 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 504,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,121) = 1

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

GCF(504,121) x common factors =1 x 1 = 1

LCM(504,121) = ( 504 × 121 ) / 1

LCM(504,121) = 60984 / 1

LCM(504,121) = 60984


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 7377/504, 9628/121

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 7377/504, 9628/121?

Answer: GCF of Numerators as per given numbers 7377/504, 9628/121 is

GCF of Numerators i.e. for 7377,9628 is 1

LCM of denominators i.e. for 504,121 is 60984.

Thus, GCF of Fractions is 1/60984.Finally, GCF of Fractions for 7377/504, 9628/121 is 1/60984.