Greatest Common Factor of 6735/322, 1369/3876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6735/322, 1369/3876

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 6735/322,1369/3876

Given fractions are 6735/322,1369/3876

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 6735,1369

Greatest Common Factor of Numerators i.e. GCF of 6735,1369 is 1 .

LCM of Denominators means LCM of 322,3876 as per the given fractions.

LCM of 322,3876 is 624036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6735,1369

GCF of Fractions 6735/322,1369/3876 is 1/624036

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

Greatest Common Factor of 6735,1369 By Matching Biggest Common Factor Method

Greatest Common Factor of 6735,1369 By Matching Biggest Common Factor Method

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1,3,5,15,449,1347,2245,6735

Factors of 1369

List of positive integer factors of 1369 that divides 1369 without a remainder.

1,37,1369

Greatest Common Factor

We found the factors 6735,1369 . The biggest common factor number is the GCF number.
So the greatest common factor 6735,1369 is 1.

Lets's calculate LCM of 322,3876

2 322, 3876
161, 1938

∴ So the LCM of the given numbers is 2 x 161 x 1938 = 624036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624036

Therefore, the GCF of Fractions 6735/322,1369/3876 is 1/624036

Least Common Multiple of 322,3876 with GCF Formula

Least Common Multiple of 322,3876 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 322,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,3876) = 2

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

GCF(322,3876) x common factors =2 x 1 = 2

LCM(322,3876) = ( 322 × 3876 ) / 2

LCM(322,3876) = 1248072 / 2

LCM(322,3876) = 624036


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 6735/322, 1369/3876

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 6735/322, 1369/3876?

Answer: GCF of Numerators as per given numbers 6735/322, 1369/3876 is

GCF of Numerators i.e. for 6735,1369 is 1

LCM of denominators i.e. for 322,3876 is 624036.

Thus, GCF of Fractions is 1/624036.Finally, GCF of Fractions for 6735/322, 1369/3876 is 1/624036.