Greatest Common Factor of 796/720, 5768/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/720, 5768/915

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 796/720,5768/915

Given fractions are 796/720,5768/915

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 796,5768

Greatest Common Factor of Numerators i.e. GCF of 796,5768 is 4 .

LCM of Denominators means LCM of 720,915 as per the given fractions.

LCM of 720,915 is 43920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,5768

GCF of Fractions 796/720,5768/915 is 4/43920

2 796, 5768
2 398, 2884
199, 1442

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

Greatest Common Factor of 796,5768 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,5768 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1,2,4,7,8,14,28,56,103,206,412,721,824,1442,2884,5768

Greatest Common Factor

We found the factors 796,5768 . The biggest common factor number is the GCF number.
So the greatest common factor 796,5768 is 4.

Lets's calculate LCM of 720,915

3 720, 915
5 240, 305
48, 61

∴ So the LCM of the given numbers is 3 x 5 x 48 x 61 = 43920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/43920

Therefore, the GCF of Fractions 796/720,5768/915 is 4/43920

Least Common Multiple of 720,915 with GCF Formula

Least Common Multiple of 720,915 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 720,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,915) = 15

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

GCF(720,915) x common factors =15 x 1 = 15

LCM(720,915) = ( 720 × 915 ) / 15

LCM(720,915) = 658800 / 15

LCM(720,915) = 43920


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 796/720, 5768/915

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 796/720, 5768/915?

Answer: GCF of Numerators as per given numbers 796/720, 5768/915 is

GCF of Numerators i.e. for 796,5768 is 4

LCM of denominators i.e. for 720,915 is 43920.

Thus, GCF of Fractions is 4/43920.Finally, GCF of Fractions for 796/720, 5768/915 is 4/43920.