Greatest Common Factor of 8542/432, 5714/6513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8542/432, 5714/6513

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 8542/432,5714/6513

Given fractions are 8542/432,5714/6513

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 8542,5714

Greatest Common Factor of Numerators i.e. GCF of 8542,5714 is 2 .

LCM of Denominators means LCM of 432,6513 as per the given fractions.

LCM of 432,6513 is 937872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8542,5714

GCF of Fractions 8542/432,5714/6513 is 2/937872

2 8542, 5714
4271, 2857

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8542,5714 By Matching Biggest Common Factor Method

Greatest Common Factor of 8542,5714 By Matching Biggest Common Factor Method

Factors of 8542

List of positive integer factors of 8542 that divides 8542 without a remainder.

1,2,4271,8542

Factors of 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Greatest Common Factor

We found the factors 8542,5714 . The biggest common factor number is the GCF number.
So the greatest common factor 8542,5714 is 2.

Lets's calculate LCM of 432,6513

3 432, 6513
144, 2171

∴ So the LCM of the given numbers is 3 x 144 x 2171 = 937872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/937872

Therefore, the GCF of Fractions 8542/432,5714/6513 is 2/937872

Least Common Multiple of 432,6513 with GCF Formula

Least Common Multiple of 432,6513 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 432,6513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,6513) = 3

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

GCF(432,6513) x common factors =3 x 1 = 3

LCM(432,6513) = ( 432 × 6513 ) / 3

LCM(432,6513) = 2813616 / 3

LCM(432,6513) = 937872


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 8542/432, 5714/6513

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 8542/432, 5714/6513?

Answer: GCF of Numerators as per given numbers 8542/432, 5714/6513 is

GCF of Numerators i.e. for 8542,5714 is 2

LCM of denominators i.e. for 432,6513 is 937872.

Thus, GCF of Fractions is 2/937872.Finally, GCF of Fractions for 8542/432, 5714/6513 is 2/937872.