Greatest Common Factor of 6721/862, 5481/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6721/862, 5481/680

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 6721/862,5481/680

Given fractions are 6721/862,5481/680

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 6721,5481

Greatest Common Factor of Numerators i.e. GCF of 6721,5481 is 1 .

LCM of Denominators means LCM of 862,680 as per the given fractions.

LCM of 862,680 is 293080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6721,5481

GCF of Fractions 6721/862,5481/680 is 1/293080

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

Greatest Common Factor of 6721,5481 By Matching Biggest Common Factor Method

Greatest Common Factor of 6721,5481 By Matching Biggest Common Factor Method

Factors of 6721

List of positive integer factors of 6721 that divides 6721 without a remainder.

1,11,13,47,143,517,611,6721

Factors of 5481

List of positive integer factors of 5481 that divides 5481 without a remainder.

1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481

Greatest Common Factor

We found the factors 6721,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 6721,5481 is 1.

Lets's calculate LCM of 862,680

2 862, 680
431, 340

∴ So the LCM of the given numbers is 2 x 431 x 340 = 293080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293080

Therefore, the GCF of Fractions 6721/862,5481/680 is 1/293080

Least Common Multiple of 862,680 with GCF Formula

Least Common Multiple of 862,680 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 862,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,680) = 2

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

GCF(862,680) x common factors =2 x 1 = 2

LCM(862,680) = ( 862 × 680 ) / 2

LCM(862,680) = 586160 / 2

LCM(862,680) = 293080


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 6721/862, 5481/680

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 6721/862, 5481/680?

Answer: GCF of Numerators as per given numbers 6721/862, 5481/680 is

GCF of Numerators i.e. for 6721,5481 is 1

LCM of denominators i.e. for 862,680 is 293080.

Thus, GCF of Fractions is 1/293080.Finally, GCF of Fractions for 6721/862, 5481/680 is 1/293080.