Greatest Common Factor of 6311/69, 5953/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6311/69, 5953/324

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 6311/69,5953/324

Given fractions are 6311/69,5953/324

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 6311,5953

Greatest Common Factor of Numerators i.e. GCF of 6311,5953 is 1 .

LCM of Denominators means LCM of 69,324 as per the given fractions.

LCM of 69,324 is 7452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6311,5953

GCF of Fractions 6311/69,5953/324 is 1/7452

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

Greatest Common Factor of 6311,5953 By Matching Biggest Common Factor Method

Greatest Common Factor of 6311,5953 By Matching Biggest Common Factor Method

Factors of 6311

List of positive integer factors of 6311 that divides 6311 without a remainder.

1,6311

Factors of 5953

List of positive integer factors of 5953 that divides 5953 without a remainder.

1,5953

Greatest Common Factor

We found the factors 6311,5953 . The biggest common factor number is the GCF number.
So the greatest common factor 6311,5953 is 1.

Lets's calculate LCM of 69,324

3 69, 324
23, 108

∴ So the LCM of the given numbers is 3 x 23 x 108 = 7452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7452

Therefore, the GCF of Fractions 6311/69,5953/324 is 1/7452

Least Common Multiple of 69,324 with GCF Formula

Least Common Multiple of 69,324 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 69,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,324) = 3

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

GCF(69,324) x common factors =3 x 1 = 3

LCM(69,324) = ( 69 × 324 ) / 3

LCM(69,324) = 22356 / 3

LCM(69,324) = 7452


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 6311/69, 5953/324

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 6311/69, 5953/324?

Answer: GCF of Numerators as per given numbers 6311/69, 5953/324 is

GCF of Numerators i.e. for 6311,5953 is 1

LCM of denominators i.e. for 69,324 is 7452.

Thus, GCF of Fractions is 1/7452.Finally, GCF of Fractions for 6311/69, 5953/324 is 1/7452.