Greatest Common Factor of 5992/936, 7599/5877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5992/936, 7599/5877

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 5992/936,7599/5877

Given fractions are 5992/936,7599/5877

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 5992,7599

Greatest Common Factor of Numerators i.e. GCF of 5992,7599 is 1 .

LCM of Denominators means LCM of 936,5877 as per the given fractions.

LCM of 936,5877 is 611208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5992,7599

GCF of Fractions 5992/936,7599/5877 is 1/611208

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

Greatest Common Factor of 5992,7599 By Matching Biggest Common Factor Method

Greatest Common Factor of 5992,7599 By Matching Biggest Common Factor Method

Factors of 5992

List of positive integer factors of 5992 that divides 5992 without a remainder.

1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992

Factors of 7599

List of positive integer factors of 7599 that divides 7599 without a remainder.

1,3,17,51,149,447,2533,7599

Greatest Common Factor

We found the factors 5992,7599 . The biggest common factor number is the GCF number.
So the greatest common factor 5992,7599 is 1.

Lets's calculate LCM of 936,5877

3 936, 5877
3 312, 1959
104, 653

∴ So the LCM of the given numbers is 3 x 3 x 104 x 653 = 611208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611208

Therefore, the GCF of Fractions 5992/936,7599/5877 is 1/611208

Least Common Multiple of 936,5877 with GCF Formula

Least Common Multiple of 936,5877 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 936,5877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,5877) = 9

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

GCF(936,5877) x common factors =9 x 1 = 9

LCM(936,5877) = ( 936 × 5877 ) / 9

LCM(936,5877) = 5500872 / 9

LCM(936,5877) = 611208


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 5992/936, 7599/5877

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 5992/936, 7599/5877?

Answer: GCF of Numerators as per given numbers 5992/936, 7599/5877 is

GCF of Numerators i.e. for 5992,7599 is 1

LCM of denominators i.e. for 936,5877 is 611208.

Thus, GCF of Fractions is 1/611208.Finally, GCF of Fractions for 5992/936, 7599/5877 is 1/611208.