Greatest Common Factor of 85/647, 5694/6872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/647, 5694/6872

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 85/647,5694/6872

Given fractions are 85/647,5694/6872

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 85,5694

Greatest Common Factor of Numerators i.e. GCF of 85,5694 is 1 .

LCM of Denominators means LCM of 647,6872 as per the given fractions.

LCM of 647,6872 is 4446184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,5694

GCF of Fractions 85/647,5694/6872 is 1/4446184

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

Greatest Common Factor of 85,5694 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,5694 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Greatest Common Factor

We found the factors 85,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 85,5694 is 1.

Lets's calculate LCM of 647,6872

Given numbers has no common factors except 1. So, there LCM is their product i.e 4446184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4446184

Therefore, the GCF of Fractions 85/647,5694/6872 is 1/4446184

Least Common Multiple of 647,6872 with GCF Formula

Least Common Multiple of 647,6872 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 647,6872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,6872) = 1

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

GCF(647,6872) x common factors =1 x 1 = 1

LCM(647,6872) = ( 647 × 6872 ) / 1

LCM(647,6872) = 4446184 / 1

LCM(647,6872) = 4446184


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 85/647, 5694/6872

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 85/647, 5694/6872?

Answer: GCF of Numerators as per given numbers 85/647, 5694/6872 is

GCF of Numerators i.e. for 85,5694 is 1

LCM of denominators i.e. for 647,6872 is 4446184.

Thus, GCF of Fractions is 1/4446184.Finally, GCF of Fractions for 85/647, 5694/6872 is 1/4446184.