Greatest Common Factor of 6906/507, 7971/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6906/507, 7971/406

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 6906/507,7971/406

Given fractions are 6906/507,7971/406

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 6906,7971

Greatest Common Factor of Numerators i.e. GCF of 6906,7971 is 3 .

LCM of Denominators means LCM of 507,406 as per the given fractions.

LCM of 507,406 is 205842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6906,7971

GCF of Fractions 6906/507,7971/406 is 3/205842

3 6906, 7971
2302, 2657

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6906,7971 By Matching Biggest Common Factor Method

Greatest Common Factor of 6906,7971 By Matching Biggest Common Factor Method

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1,2,3,6,1151,2302,3453,6906

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors 6906,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 6906,7971 is 3.

Lets's calculate LCM of 507,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 205842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/205842

Therefore, the GCF of Fractions 6906/507,7971/406 is 3/205842

Least Common Multiple of 507,406 with GCF Formula

Least Common Multiple of 507,406 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 507,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,406) = 1

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

GCF(507,406) x common factors =1 x 1 = 1

LCM(507,406) = ( 507 × 406 ) / 1

LCM(507,406) = 205842 / 1

LCM(507,406) = 205842


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 6906/507, 7971/406

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 6906/507, 7971/406?

Answer: GCF of Numerators as per given numbers 6906/507, 7971/406 is

GCF of Numerators i.e. for 6906,7971 is 3

LCM of denominators i.e. for 507,406 is 205842.

Thus, GCF of Fractions is 3/205842.Finally, GCF of Fractions for 6906/507, 7971/406 is 3/205842.