Greatest Common Factor of 115/5691, 618/8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 115/5691, 618/8742

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 115/5691,618/8742

Given fractions are 115/5691,618/8742

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 115,618

Greatest Common Factor of Numerators i.e. GCF of 115,618 is 1 .

LCM of Denominators means LCM of 5691,8742 as per the given fractions.

LCM of 5691,8742 is 16583574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 115,618

GCF of Fractions 115/5691,618/8742 is 1/16583574

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

Greatest Common Factor of 115,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,618 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 115,618 . The biggest common factor number is the GCF number.
So the greatest common factor 115,618 is 1.

Lets's calculate LCM of 5691,8742

3 5691, 8742
1897, 2914

∴ So the LCM of the given numbers is 3 x 1897 x 2914 = 16583574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16583574

Therefore, the GCF of Fractions 115/5691,618/8742 is 1/16583574

Least Common Multiple of 5691,8742 with GCF Formula

Least Common Multiple of 5691,8742 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 5691,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5691,8742) = 3

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

GCF(5691,8742) x common factors =3 x 1 = 3

LCM(5691,8742) = ( 5691 × 8742 ) / 3

LCM(5691,8742) = 49750722 / 3

LCM(5691,8742) = 16583574


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 115/5691, 618/8742

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 115/5691, 618/8742?

Answer: GCF of Numerators as per given numbers 115/5691, 618/8742 is

GCF of Numerators i.e. for 115,618 is 1

LCM of denominators i.e. for 5691,8742 is 16583574.

Thus, GCF of Fractions is 1/16583574.Finally, GCF of Fractions for 115/5691, 618/8742 is 1/16583574.