Greatest Common Factor of 7379/314, 9322/5936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7379/314, 9322/5936

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 7379/314,9322/5936

Given fractions are 7379/314,9322/5936

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 7379,9322

Greatest Common Factor of Numerators i.e. GCF of 7379,9322 is 1 .

LCM of Denominators means LCM of 314,5936 as per the given fractions.

LCM of 314,5936 is 931952 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7379,9322

GCF of Fractions 7379/314,9322/5936 is 1/931952

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

Greatest Common Factor of 7379,9322 By Matching Biggest Common Factor Method

Greatest Common Factor of 7379,9322 By Matching Biggest Common Factor Method

Factors of 7379

List of positive integer factors of 7379 that divides 7379 without a remainder.

1,47,157,7379

Factors of 9322

List of positive integer factors of 9322 that divides 9322 without a remainder.

1,2,59,79,118,158,4661,9322

Greatest Common Factor

We found the factors 7379,9322 . The biggest common factor number is the GCF number.
So the greatest common factor 7379,9322 is 1.

Lets's calculate LCM of 314,5936

2 314, 5936
157, 2968

∴ So the LCM of the given numbers is 2 x 157 x 2968 = 931952

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/931952

Therefore, the GCF of Fractions 7379/314,9322/5936 is 1/931952

Least Common Multiple of 314,5936 with GCF Formula

Least Common Multiple of 314,5936 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 314,5936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,5936) = 2

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

GCF(314,5936) x common factors =2 x 1 = 2

LCM(314,5936) = ( 314 × 5936 ) / 2

LCM(314,5936) = 1863904 / 2

LCM(314,5936) = 931952


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 7379/314, 9322/5936

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 7379/314, 9322/5936?

Answer: GCF of Numerators as per given numbers 7379/314, 9322/5936 is

GCF of Numerators i.e. for 7379,9322 is 1

LCM of denominators i.e. for 314,5936 is 931952.

Thus, GCF of Fractions is 1/931952.Finally, GCF of Fractions for 7379/314, 9322/5936 is 1/931952.