Greatest Common Factor of 9974/999, 5835/6135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9974/999, 5835/6135

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 9974/999,5835/6135

Given fractions are 9974/999,5835/6135

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 9974,5835

Greatest Common Factor of Numerators i.e. GCF of 9974,5835 is 1 .

LCM of Denominators means LCM of 999,6135 as per the given fractions.

LCM of 999,6135 is 2042955 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9974,5835

GCF of Fractions 9974/999,5835/6135 is 1/2042955

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

Greatest Common Factor of 9974,5835 By Matching Biggest Common Factor Method

Greatest Common Factor of 9974,5835 By Matching Biggest Common Factor Method

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1,2,4987,9974

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Greatest Common Factor

We found the factors 9974,5835 . The biggest common factor number is the GCF number.
So the greatest common factor 9974,5835 is 1.

Lets's calculate LCM of 999,6135

3 999, 6135
333, 2045

∴ So the LCM of the given numbers is 3 x 333 x 2045 = 2042955

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2042955

Therefore, the GCF of Fractions 9974/999,5835/6135 is 1/2042955

Least Common Multiple of 999,6135 with GCF Formula

Least Common Multiple of 999,6135 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 999,6135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,6135) = 3

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

GCF(999,6135) x common factors =3 x 1 = 3

LCM(999,6135) = ( 999 × 6135 ) / 3

LCM(999,6135) = 6128865 / 3

LCM(999,6135) = 2042955


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 9974/999, 5835/6135

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 9974/999, 5835/6135?

Answer: GCF of Numerators as per given numbers 9974/999, 5835/6135 is

GCF of Numerators i.e. for 9974,5835 is 1

LCM of denominators i.e. for 999,6135 is 2042955.

Thus, GCF of Fractions is 1/2042955.Finally, GCF of Fractions for 9974/999, 5835/6135 is 1/2042955.