Greatest Common Factor of 158/73, 165/57, 388/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 158/73, 165/57, 388/468

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 158/73,165/57,388/468

Given fractions are 158/73,165/57,388/468

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 158,165,388

Greatest Common Factor of Numerators i.e. GCF of 158,165,388 is 1 .

LCM of Denominators means LCM of 73,57,468 as per the given fractions.

LCM of 73,57,468 is 649116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 158,165,388

GCF of Fractions 158/73,165/57,388/468 is 1/649116

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

Greatest Common Factor of 158,165,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,165,388 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 388

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

1,2,4,97,194,388

Greatest Common Factor

We found the factors 158,165,388 . The biggest common factor number is the GCF number.
So the greatest common factor 158,165,388 is 1.

Lets's calculate LCM of 73,57,468

3 73, 57, 468
73, 19, 156

∴ So the LCM of the given numbers is 3 x 73 x 19 x 156 = 649116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/649116

Therefore, the GCF of Fractions 158/73,165/57,388/468 is 1/649116

Least Common Multiple of 73,57,468 with GCF Formula

Least Common Multiple of 73,57,468 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 73,57,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,57,468) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,57,468) x common factors =1 x 3 = 3

LCM(73,57,468) = ( 73 × 57 × 468 ) / 3

LCM(73,57,468) = 1947348 / 3

LCM(73,57,468) = 649116


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 158/73, 165/57, 388/468

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 158/73, 165/57, 388/468?

Answer: GCF of Numerators as per given numbers 158/73, 165/57, 388/468 is

GCF of Numerators i.e. for 158,165,388 is 1

LCM of denominators i.e. for 73,57,468 is 649116.

Thus, GCF of Fractions is 1/649116.Finally, GCF of Fractions for 158/73, 165/57, 388/468 is 1/649116.