Greatest Common Factor of 331/782, 5872/8093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 331/782, 5872/8093

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 331/782,5872/8093

Given fractions are 331/782,5872/8093

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 331,5872

Greatest Common Factor of Numerators i.e. GCF of 331,5872 is 1 .

LCM of Denominators means LCM of 782,8093 as per the given fractions.

LCM of 782,8093 is 6328726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 331,5872

GCF of Fractions 331/782,5872/8093 is 1/6328726

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

Greatest Common Factor of 331,5872 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,5872 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 5872

List of positive integer factors of 5872 that divides 5872 without a remainder.

1,2,4,8,16,367,734,1468,2936,5872

Greatest Common Factor

We found the factors 331,5872 . The biggest common factor number is the GCF number.
So the greatest common factor 331,5872 is 1.

Lets's calculate LCM of 782,8093

Given numbers has no common factors except 1. So, there LCM is their product i.e 6328726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6328726

Therefore, the GCF of Fractions 331/782,5872/8093 is 1/6328726

Least Common Multiple of 782,8093 with GCF Formula

Least Common Multiple of 782,8093 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 782,8093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,8093) = 1

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

GCF(782,8093) x common factors =1 x 1 = 1

LCM(782,8093) = ( 782 × 8093 ) / 1

LCM(782,8093) = 6328726 / 1

LCM(782,8093) = 6328726


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 331/782, 5872/8093

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 331/782, 5872/8093?

Answer: GCF of Numerators as per given numbers 331/782, 5872/8093 is

GCF of Numerators i.e. for 331,5872 is 1

LCM of denominators i.e. for 782,8093 is 6328726.

Thus, GCF of Fractions is 1/6328726.Finally, GCF of Fractions for 331/782, 5872/8093 is 1/6328726.