Greatest Common Factor of 6745/546, 3121/2991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6745/546, 3121/2991

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 6745/546,3121/2991

Given fractions are 6745/546,3121/2991

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 6745,3121

Greatest Common Factor of Numerators i.e. GCF of 6745,3121 is 1 .

LCM of Denominators means LCM of 546,2991 as per the given fractions.

LCM of 546,2991 is 544362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6745,3121

GCF of Fractions 6745/546,3121/2991 is 1/544362

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

Greatest Common Factor of 6745,3121 By Matching Biggest Common Factor Method

Greatest Common Factor of 6745,3121 By Matching Biggest Common Factor Method

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1,5,19,71,95,355,1349,6745

Factors of 3121

List of positive integer factors of 3121 that divides 3121 without a remainder.

1,3121

Greatest Common Factor

We found the factors 6745,3121 . The biggest common factor number is the GCF number.
So the greatest common factor 6745,3121 is 1.

Lets's calculate LCM of 546,2991

3 546, 2991
182, 997

∴ So the LCM of the given numbers is 3 x 182 x 997 = 544362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544362

Therefore, the GCF of Fractions 6745/546,3121/2991 is 1/544362

Least Common Multiple of 546,2991 with GCF Formula

Least Common Multiple of 546,2991 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 546,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,2991) = 3

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

GCF(546,2991) x common factors =3 x 1 = 3

LCM(546,2991) = ( 546 × 2991 ) / 3

LCM(546,2991) = 1633086 / 3

LCM(546,2991) = 544362


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 6745/546, 3121/2991

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 6745/546, 3121/2991?

Answer: GCF of Numerators as per given numbers 6745/546, 3121/2991 is

GCF of Numerators i.e. for 6745,3121 is 1

LCM of denominators i.e. for 546,2991 is 544362.

Thus, GCF of Fractions is 1/544362.Finally, GCF of Fractions for 6745/546, 3121/2991 is 1/544362.