Greatest Common Factor of 478/34, 617/57, 272/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 478/34, 617/57, 272/132

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 478/34,617/57,272/132

Given fractions are 478/34,617/57,272/132

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 478,617,272

Greatest Common Factor of Numerators i.e. GCF of 478,617,272 is 1 .

LCM of Denominators means LCM of 34,57,132 as per the given fractions.

LCM of 34,57,132 is 42636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 478,617,272

GCF of Fractions 478/34,617/57,272/132 is 1/42636

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

Greatest Common Factor of 478,617,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,617,272 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 478,617,272 . The biggest common factor number is the GCF number.
So the greatest common factor 478,617,272 is 1.

Lets's calculate LCM of 34,57,132

2 34, 57, 132
3 17, 57, 66
17, 19, 22

∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 22 = 42636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42636

Therefore, the GCF of Fractions 478/34,617/57,272/132 is 1/42636

Least Common Multiple of 34,57,132 with GCF Formula

Least Common Multiple of 34,57,132 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 34,57,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,57,132) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(34,57,132) x common factors =1 x 6 = 6

LCM(34,57,132) = ( 34 × 57 × 132 ) / 6

LCM(34,57,132) = 255816 / 6

LCM(34,57,132) = 42636


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 478/34, 617/57, 272/132

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 478/34, 617/57, 272/132?

Answer: GCF of Numerators as per given numbers 478/34, 617/57, 272/132 is

GCF of Numerators i.e. for 478,617,272 is 1

LCM of denominators i.e. for 34,57,132 is 42636.

Thus, GCF of Fractions is 1/42636.Finally, GCF of Fractions for 478/34, 617/57, 272/132 is 1/42636.