Greatest Common Factor of 6821/125, 2708/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6821/125, 2708/869

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 6821/125,2708/869

Given fractions are 6821/125,2708/869

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 6821,2708

Greatest Common Factor of Numerators i.e. GCF of 6821,2708 is 1 .

LCM of Denominators means LCM of 125,869 as per the given fractions.

LCM of 125,869 is 108625 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6821,2708

GCF of Fractions 6821/125,2708/869 is 1/108625

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

Greatest Common Factor of 6821,2708 By Matching Biggest Common Factor Method

Greatest Common Factor of 6821,2708 By Matching Biggest Common Factor Method

Factors of 6821

List of positive integer factors of 6821 that divides 6821 without a remainder.

1,19,359,6821

Factors of 2708

List of positive integer factors of 2708 that divides 2708 without a remainder.

1,2,4,677,1354,2708

Greatest Common Factor

We found the factors 6821,2708 . The biggest common factor number is the GCF number.
So the greatest common factor 6821,2708 is 1.

Lets's calculate LCM of 125,869

Given numbers has no common factors except 1. So, there LCM is their product i.e 108625

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108625

Therefore, the GCF of Fractions 6821/125,2708/869 is 1/108625

Least Common Multiple of 125,869 with GCF Formula

Least Common Multiple of 125,869 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 125,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,869) = 1

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

GCF(125,869) x common factors =1 x 1 = 1

LCM(125,869) = ( 125 × 869 ) / 1

LCM(125,869) = 108625 / 1

LCM(125,869) = 108625


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 6821/125, 2708/869

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 6821/125, 2708/869?

Answer: GCF of Numerators as per given numbers 6821/125, 2708/869 is

GCF of Numerators i.e. for 6821,2708 is 1

LCM of denominators i.e. for 125,869 is 108625.

Thus, GCF of Fractions is 1/108625.Finally, GCF of Fractions for 6821/125, 2708/869 is 1/108625.