Greatest Common Factor of 857/731, 7694/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 857/731, 7694/459

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 857/731,7694/459

Given fractions are 857/731,7694/459

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 857,7694

Greatest Common Factor of Numerators i.e. GCF of 857,7694 is 1 .

LCM of Denominators means LCM of 731,459 as per the given fractions.

LCM of 731,459 is 19737 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 857,7694

GCF of Fractions 857/731,7694/459 is 1/19737

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

Greatest Common Factor of 857,7694 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,7694 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1,2,3847,7694

Greatest Common Factor

We found the factors 857,7694 . The biggest common factor number is the GCF number.
So the greatest common factor 857,7694 is 1.

Lets's calculate LCM of 731,459

17 731, 459
43, 27

∴ So the LCM of the given numbers is 17 x 43 x 27 = 19737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19737

Therefore, the GCF of Fractions 857/731,7694/459 is 1/19737

Least Common Multiple of 731,459 with GCF Formula

Least Common Multiple of 731,459 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 731,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,459) = 17

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

GCF(731,459) x common factors =17 x 1 = 17

LCM(731,459) = ( 731 × 459 ) / 17

LCM(731,459) = 335529 / 17

LCM(731,459) = 19737


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 857/731, 7694/459

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 857/731, 7694/459?

Answer: GCF of Numerators as per given numbers 857/731, 7694/459 is

GCF of Numerators i.e. for 857,7694 is 1

LCM of denominators i.e. for 731,459 is 19737.

Thus, GCF of Fractions is 1/19737.Finally, GCF of Fractions for 857/731, 7694/459 is 1/19737.