Greatest Common Factor of 6542/84, 7947/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6542/84, 7947/777

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 6542/84,7947/777

Given fractions are 6542/84,7947/777

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 6542,7947

Greatest Common Factor of Numerators i.e. GCF of 6542,7947 is 1 .

LCM of Denominators means LCM of 84,777 as per the given fractions.

LCM of 84,777 is 3108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6542,7947

GCF of Fractions 6542/84,7947/777 is 1/3108

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

Greatest Common Factor of 6542,7947 By Matching Biggest Common Factor Method

Greatest Common Factor of 6542,7947 By Matching Biggest Common Factor Method

Factors of 6542

List of positive integer factors of 6542 that divides 6542 without a remainder.

1,2,3271,6542

Factors of 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1,3,9,883,2649,7947

Greatest Common Factor

We found the factors 6542,7947 . The biggest common factor number is the GCF number.
So the greatest common factor 6542,7947 is 1.

Lets's calculate LCM of 84,777

3 84, 777
7 28, 259
4, 37

∴ So the LCM of the given numbers is 3 x 7 x 4 x 37 = 3108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3108

Therefore, the GCF of Fractions 6542/84,7947/777 is 1/3108

Least Common Multiple of 84,777 with GCF Formula

Least Common Multiple of 84,777 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 84,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,777) = 21

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

GCF(84,777) x common factors =21 x 1 = 21

LCM(84,777) = ( 84 × 777 ) / 21

LCM(84,777) = 65268 / 21

LCM(84,777) = 3108


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 6542/84, 7947/777

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 6542/84, 7947/777?

Answer: GCF of Numerators as per given numbers 6542/84, 7947/777 is

GCF of Numerators i.e. for 6542,7947 is 1

LCM of denominators i.e. for 84,777 is 3108.

Thus, GCF of Fractions is 1/3108.Finally, GCF of Fractions for 6542/84, 7947/777 is 1/3108.