Greatest Common Factor of 388/292, 7721/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/292, 7721/118

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 388/292,7721/118

Given fractions are 388/292,7721/118

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 388,7721

Greatest Common Factor of Numerators i.e. GCF of 388,7721 is 1 .

LCM of Denominators means LCM of 292,118 as per the given fractions.

LCM of 292,118 is 17228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,7721

GCF of Fractions 388/292,7721/118 is 1/17228

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

Greatest Common Factor of 388,7721 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,7721 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 7721

List of positive integer factors of 7721 that divides 7721 without a remainder.

1,7,1103,7721

Greatest Common Factor

We found the factors 388,7721 . The biggest common factor number is the GCF number.
So the greatest common factor 388,7721 is 1.

Lets's calculate LCM of 292,118

2 292, 118
146, 59

∴ So the LCM of the given numbers is 2 x 146 x 59 = 17228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17228

Therefore, the GCF of Fractions 388/292,7721/118 is 1/17228

Least Common Multiple of 292,118 with GCF Formula

Least Common Multiple of 292,118 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 292,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,118) = 2

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

GCF(292,118) x common factors =2 x 1 = 2

LCM(292,118) = ( 292 × 118 ) / 2

LCM(292,118) = 34456 / 2

LCM(292,118) = 17228


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 388/292, 7721/118

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 388/292, 7721/118?

Answer: GCF of Numerators as per given numbers 388/292, 7721/118 is

GCF of Numerators i.e. for 388,7721 is 1

LCM of denominators i.e. for 292,118 is 17228.

Thus, GCF of Fractions is 1/17228.Finally, GCF of Fractions for 388/292, 7721/118 is 1/17228.