Greatest Common Factor of 612/796, 5974/7319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 612/796, 5974/7319

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 612/796,5974/7319

Given fractions are 612/796,5974/7319

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 612,5974

Greatest Common Factor of Numerators i.e. GCF of 612,5974 is 2 .

LCM of Denominators means LCM of 796,7319 as per the given fractions.

LCM of 796,7319 is 5825924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 612,5974

GCF of Fractions 612/796,5974/7319 is 2/5825924

2 612, 5974
306, 2987

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

Greatest Common Factor of 612,5974 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,5974 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Greatest Common Factor

We found the factors 612,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 612,5974 is 2.

Lets's calculate LCM of 796,7319

Given numbers has no common factors except 1. So, there LCM is their product i.e 5825924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5825924

Therefore, the GCF of Fractions 612/796,5974/7319 is 2/5825924

Least Common Multiple of 796,7319 with GCF Formula

Least Common Multiple of 796,7319 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 796,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,7319) = 1

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

GCF(796,7319) x common factors =1 x 1 = 1

LCM(796,7319) = ( 796 × 7319 ) / 1

LCM(796,7319) = 5825924 / 1

LCM(796,7319) = 5825924


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 612/796, 5974/7319

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 612/796, 5974/7319?

Answer: GCF of Numerators as per given numbers 612/796, 5974/7319 is

GCF of Numerators i.e. for 612,5974 is 2

LCM of denominators i.e. for 796,7319 is 5825924.

Thus, GCF of Fractions is 2/5825924.Finally, GCF of Fractions for 612/796, 5974/7319 is 2/5825924.