Greatest Common Factor of 5999/45, 5996/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5999/45, 5996/852

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 5999/45,5996/852

Given fractions are 5999/45,5996/852

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 5999,5996

Greatest Common Factor of Numerators i.e. GCF of 5999,5996 is 1 .

LCM of Denominators means LCM of 45,852 as per the given fractions.

LCM of 45,852 is 12780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5999,5996

GCF of Fractions 5999/45,5996/852 is 1/12780

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

Greatest Common Factor of 5999,5996 By Matching Biggest Common Factor Method

Greatest Common Factor of 5999,5996 By Matching Biggest Common Factor Method

Factors of 5999

List of positive integer factors of 5999 that divides 5999 without a remainder.

1,7,857,5999

Factors of 5996

List of positive integer factors of 5996 that divides 5996 without a remainder.

1,2,4,1499,2998,5996

Greatest Common Factor

We found the factors 5999,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 5999,5996 is 1.

Lets's calculate LCM of 45,852

3 45, 852
15, 284

∴ So the LCM of the given numbers is 3 x 15 x 284 = 12780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12780

Therefore, the GCF of Fractions 5999/45,5996/852 is 1/12780

Least Common Multiple of 45,852 with GCF Formula

Least Common Multiple of 45,852 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 45,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,852) = 3

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

GCF(45,852) x common factors =3 x 1 = 3

LCM(45,852) = ( 45 × 852 ) / 3

LCM(45,852) = 38340 / 3

LCM(45,852) = 12780


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 5999/45, 5996/852

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 5999/45, 5996/852?

Answer: GCF of Numerators as per given numbers 5999/45, 5996/852 is

GCF of Numerators i.e. for 5999,5996 is 1

LCM of denominators i.e. for 45,852 is 12780.

Thus, GCF of Fractions is 1/12780.Finally, GCF of Fractions for 5999/45, 5996/852 is 1/12780.