Greatest Common Factor of 7367/160, 5977/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7367/160, 5977/404

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 7367/160,5977/404

Given fractions are 7367/160,5977/404

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 7367,5977

Greatest Common Factor of Numerators i.e. GCF of 7367,5977 is 139 .

LCM of Denominators means LCM of 160,404 as per the given fractions.

LCM of 160,404 is 16160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7367,5977

GCF of Fractions 7367/160,5977/404 is 139/16160

139 7367, 5977
53, 43

∴ So the GCF of the given numbers is 139 = 139

Greatest Common Factor of 7367,5977 By Matching Biggest Common Factor Method

Greatest Common Factor of 7367,5977 By Matching Biggest Common Factor Method

Factors of 7367

List of positive integer factors of 7367 that divides 7367 without a remainder.

1,53,139,7367

Factors of 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1,43,139,5977

Greatest Common Factor

We found the factors 7367,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 7367,5977 is 139.

Lets's calculate LCM of 160,404

2 160, 404
2 80, 202
40, 101

∴ So the LCM of the given numbers is 2 x 2 x 40 x 101 = 16160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/16160

Therefore, the GCF of Fractions 7367/160,5977/404 is 139/16160

Least Common Multiple of 160,404 with GCF Formula

Least Common Multiple of 160,404 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 160,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,404) = 4

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

GCF(160,404) x common factors =4 x 1 = 4

LCM(160,404) = ( 160 × 404 ) / 4

LCM(160,404) = 64640 / 4

LCM(160,404) = 16160


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 7367/160, 5977/404

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 7367/160, 5977/404?

Answer: GCF of Numerators as per given numbers 7367/160, 5977/404 is

GCF of Numerators i.e. for 7367,5977 is 139

LCM of denominators i.e. for 160,404 is 16160.

Thus, GCF of Fractions is 139/16160.Finally, GCF of Fractions for 7367/160, 5977/404 is 139/16160.