Greatest Common Factor of 4381/968, 6535/6793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4381/968, 6535/6793

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 4381/968,6535/6793

Given fractions are 4381/968,6535/6793

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 4381,6535

Greatest Common Factor of Numerators i.e. GCF of 4381,6535 is 1 .

LCM of Denominators means LCM of 968,6793 as per the given fractions.

LCM of 968,6793 is 6575624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4381,6535

GCF of Fractions 4381/968,6535/6793 is 1/6575624

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

Greatest Common Factor of 4381,6535 By Matching Biggest Common Factor Method

Greatest Common Factor of 4381,6535 By Matching Biggest Common Factor Method

Factors of 4381

List of positive integer factors of 4381 that divides 4381 without a remainder.

1,13,337,4381

Factors of 6535

List of positive integer factors of 6535 that divides 6535 without a remainder.

1,5,1307,6535

Greatest Common Factor

We found the factors 4381,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 4381,6535 is 1.

Lets's calculate LCM of 968,6793

Given numbers has no common factors except 1. So, there LCM is their product i.e 6575624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6575624

Therefore, the GCF of Fractions 4381/968,6535/6793 is 1/6575624

Least Common Multiple of 968,6793 with GCF Formula

Least Common Multiple of 968,6793 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 968,6793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,6793) = 1

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

GCF(968,6793) x common factors =1 x 1 = 1

LCM(968,6793) = ( 968 × 6793 ) / 1

LCM(968,6793) = 6575624 / 1

LCM(968,6793) = 6575624


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 4381/968, 6535/6793

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 4381/968, 6535/6793?

Answer: GCF of Numerators as per given numbers 4381/968, 6535/6793 is

GCF of Numerators i.e. for 4381,6535 is 1

LCM of denominators i.e. for 968,6793 is 6575624.

Thus, GCF of Fractions is 1/6575624.Finally, GCF of Fractions for 4381/968, 6535/6793 is 1/6575624.