Greatest Common Factor of 472/542, 1534/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/542, 1534/239

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 472/542,1534/239

Given fractions are 472/542,1534/239

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 472,1534

Greatest Common Factor of Numerators i.e. GCF of 472,1534 is 118 .

LCM of Denominators means LCM of 542,239 as per the given fractions.

LCM of 542,239 is 129538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,1534

GCF of Fractions 472/542,1534/239 is 118/129538

2 472, 1534
59 236, 767
4, 13

∴ So the GCF of the given numbers is 2 x 59 = 118

Greatest Common Factor of 472,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,1534 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 1534

List of positive integer factors of 1534 that divides 1534 without a remainder.

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 472,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 472,1534 is 118.

Lets's calculate LCM of 542,239

Given numbers has no common factors except 1. So, there LCM is their product i.e 129538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/129538

Therefore, the GCF of Fractions 472/542,1534/239 is 118/129538

Least Common Multiple of 542,239 with GCF Formula

Least Common Multiple of 542,239 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 542,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,239) = 1

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

GCF(542,239) x common factors =1 x 1 = 1

LCM(542,239) = ( 542 × 239 ) / 1

LCM(542,239) = 129538 / 1

LCM(542,239) = 129538


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 472/542, 1534/239

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 472/542, 1534/239?

Answer: GCF of Numerators as per given numbers 472/542, 1534/239 is

GCF of Numerators i.e. for 472,1534 is 118

LCM of denominators i.e. for 542,239 is 129538.

Thus, GCF of Fractions is 118/129538.Finally, GCF of Fractions for 472/542, 1534/239 is 118/129538.