Greatest Common Factor of 596/726, 5664/3858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 596/726, 5664/3858

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 596/726,5664/3858

Given fractions are 596/726,5664/3858

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 596,5664

Greatest Common Factor of Numerators i.e. GCF of 596,5664 is 4 .

LCM of Denominators means LCM of 726,3858 as per the given fractions.

LCM of 726,3858 is 466818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 596,5664

GCF of Fractions 596/726,5664/3858 is 4/466818

2 596, 5664
2 298, 2832
149, 1416

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 596,5664 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,5664 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Greatest Common Factor

We found the factors 596,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 596,5664 is 4.

Lets's calculate LCM of 726,3858

2 726, 3858
3 363, 1929
121, 643

∴ So the LCM of the given numbers is 2 x 3 x 121 x 643 = 466818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/466818

Therefore, the GCF of Fractions 596/726,5664/3858 is 4/466818

Least Common Multiple of 726,3858 with GCF Formula

Least Common Multiple of 726,3858 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 726,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,3858) = 6

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

GCF(726,3858) x common factors =6 x 1 = 6

LCM(726,3858) = ( 726 × 3858 ) / 6

LCM(726,3858) = 2800908 / 6

LCM(726,3858) = 466818


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 596/726, 5664/3858

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 596/726, 5664/3858?

Answer: GCF of Numerators as per given numbers 596/726, 5664/3858 is

GCF of Numerators i.e. for 596,5664 is 4

LCM of denominators i.e. for 726,3858 is 466818.

Thus, GCF of Fractions is 4/466818.Finally, GCF of Fractions for 596/726, 5664/3858 is 4/466818.