Greatest Common Factor of 52/457, 121/247, 188/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/457, 121/247, 188/316

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 52/457,121/247,188/316

Given fractions are 52/457,121/247,188/316

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 52,121,188

Greatest Common Factor of Numerators i.e. GCF of 52,121,188 is 1 .

LCM of Denominators means LCM of 457,247,316 as per the given fractions.

LCM of 457,247,316 is 35669764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,121,188

GCF of Fractions 52/457,121/247,188/316 is 1/35669764

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

Greatest Common Factor of 52,121,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,121,188 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 52,121,188 . The biggest common factor number is the GCF number.
So the greatest common factor 52,121,188 is 1.

Lets's calculate LCM of 457,247,316

Given numbers has no common factors except 1. So, there LCM is their product i.e 35669764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35669764

Therefore, the GCF of Fractions 52/457,121/247,188/316 is 1/35669764

Least Common Multiple of 457,247,316 with GCF Formula

Least Common Multiple of 457,247,316 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 457,247,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,247,316) = 1

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

GCF(457,247,316) x common factors =1 x 1 = 1

LCM(457,247,316) = ( 457 × 247 × 316 ) / 1

LCM(457,247,316) = 35669764 / 1

LCM(457,247,316) = 35669764


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 52/457, 121/247, 188/316

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 52/457, 121/247, 188/316?

Answer: GCF of Numerators as per given numbers 52/457, 121/247, 188/316 is

GCF of Numerators i.e. for 52,121,188 is 1

LCM of denominators i.e. for 457,247,316 is 35669764.

Thus, GCF of Fractions is 1/35669764.Finally, GCF of Fractions for 52/457, 121/247, 188/316 is 1/35669764.