Greatest Common Factor of 9942/759, 5989/8934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9942/759, 5989/8934

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 9942/759,5989/8934

Given fractions are 9942/759,5989/8934

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 9942,5989

Greatest Common Factor of Numerators i.e. GCF of 9942,5989 is 1 .

LCM of Denominators means LCM of 759,8934 as per the given fractions.

LCM of 759,8934 is 2260302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9942,5989

GCF of Fractions 9942/759,5989/8934 is 1/2260302

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

Greatest Common Factor of 9942,5989 By Matching Biggest Common Factor Method

Greatest Common Factor of 9942,5989 By Matching Biggest Common Factor Method

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Greatest Common Factor

We found the factors 9942,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 9942,5989 is 1.

Lets's calculate LCM of 759,8934

3 759, 8934
253, 2978

∴ So the LCM of the given numbers is 3 x 253 x 2978 = 2260302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2260302

Therefore, the GCF of Fractions 9942/759,5989/8934 is 1/2260302

Least Common Multiple of 759,8934 with GCF Formula

Least Common Multiple of 759,8934 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 759,8934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,8934) = 3

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

GCF(759,8934) x common factors =3 x 1 = 3

LCM(759,8934) = ( 759 × 8934 ) / 3

LCM(759,8934) = 6780906 / 3

LCM(759,8934) = 2260302


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 9942/759, 5989/8934

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 9942/759, 5989/8934?

Answer: GCF of Numerators as per given numbers 9942/759, 5989/8934 is

GCF of Numerators i.e. for 9942,5989 is 1

LCM of denominators i.e. for 759,8934 is 2260302.

Thus, GCF of Fractions is 1/2260302.Finally, GCF of Fractions for 9942/759, 5989/8934 is 1/2260302.