Greatest Common Factor of 4695/726, 8596/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4695/726, 8596/942

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 4695/726,8596/942

Given fractions are 4695/726,8596/942

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 4695,8596

Greatest Common Factor of Numerators i.e. GCF of 4695,8596 is 1 .

LCM of Denominators means LCM of 726,942 as per the given fractions.

LCM of 726,942 is 113982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4695,8596

GCF of Fractions 4695/726,8596/942 is 1/113982

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

Greatest Common Factor of 4695,8596 By Matching Biggest Common Factor Method

Greatest Common Factor of 4695,8596 By Matching Biggest Common Factor Method

Factors of 4695

List of positive integer factors of 4695 that divides 4695 without a remainder.

1,3,5,15,313,939,1565,4695

Factors of 8596

List of positive integer factors of 8596 that divides 8596 without a remainder.

1,2,4,7,14,28,307,614,1228,2149,4298,8596

Greatest Common Factor

We found the factors 4695,8596 . The biggest common factor number is the GCF number.
So the greatest common factor 4695,8596 is 1.

Lets's calculate LCM of 726,942

2 726, 942
3 363, 471
121, 157

∴ So the LCM of the given numbers is 2 x 3 x 121 x 157 = 113982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113982

Therefore, the GCF of Fractions 4695/726,8596/942 is 1/113982

Least Common Multiple of 726,942 with GCF Formula

Least Common Multiple of 726,942 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 726,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,942) = 6

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

GCF(726,942) x common factors =6 x 1 = 6

LCM(726,942) = ( 726 × 942 ) / 6

LCM(726,942) = 683892 / 6

LCM(726,942) = 113982


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 4695/726, 8596/942

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 4695/726, 8596/942?

Answer: GCF of Numerators as per given numbers 4695/726, 8596/942 is

GCF of Numerators i.e. for 4695,8596 is 1

LCM of denominators i.e. for 726,942 is 113982.

Thus, GCF of Fractions is 1/113982.Finally, GCF of Fractions for 4695/726, 8596/942 is 1/113982.