Greatest Common Factor of 157/58, 6813/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/58, 6813/508

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 157/58,6813/508

Given fractions are 157/58,6813/508

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 157,6813

Greatest Common Factor of Numerators i.e. GCF of 157,6813 is 1 .

LCM of Denominators means LCM of 58,508 as per the given fractions.

LCM of 58,508 is 14732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,6813

GCF of Fractions 157/58,6813/508 is 1/14732

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

Greatest Common Factor of 157,6813 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,6813 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1,3,9,757,2271,6813

Greatest Common Factor

We found the factors 157,6813 . The biggest common factor number is the GCF number.
So the greatest common factor 157,6813 is 1.

Lets's calculate LCM of 58,508

2 58, 508
29, 254

∴ So the LCM of the given numbers is 2 x 29 x 254 = 14732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14732

Therefore, the GCF of Fractions 157/58,6813/508 is 1/14732

Least Common Multiple of 58,508 with GCF Formula

Least Common Multiple of 58,508 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 58,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,508) = 2

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

GCF(58,508) x common factors =2 x 1 = 2

LCM(58,508) = ( 58 × 508 ) / 2

LCM(58,508) = 29464 / 2

LCM(58,508) = 14732


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 157/58, 6813/508

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 157/58, 6813/508?

Answer: GCF of Numerators as per given numbers 157/58, 6813/508 is

GCF of Numerators i.e. for 157,6813 is 1

LCM of denominators i.e. for 58,508 is 14732.

Thus, GCF of Fractions is 1/14732.Finally, GCF of Fractions for 157/58, 6813/508 is 1/14732.