Greatest Common Factor of 4889/768, 7209/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4889/768, 7209/942

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 4889/768,7209/942

Given fractions are 4889/768,7209/942

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 4889,7209

Greatest Common Factor of Numerators i.e. GCF of 4889,7209 is 1 .

LCM of Denominators means LCM of 768,942 as per the given fractions.

LCM of 768,942 is 120576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4889,7209

GCF of Fractions 4889/768,7209/942 is 1/120576

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

Greatest Common Factor of 4889,7209 By Matching Biggest Common Factor Method

Greatest Common Factor of 4889,7209 By Matching Biggest Common Factor Method

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1,4889

Factors of 7209

List of positive integer factors of 7209 that divides 7209 without a remainder.

1,3,9,27,81,89,267,801,2403,7209

Greatest Common Factor

We found the factors 4889,7209 . The biggest common factor number is the GCF number.
So the greatest common factor 4889,7209 is 1.

Lets's calculate LCM of 768,942

2 768, 942
3 384, 471
128, 157

∴ So the LCM of the given numbers is 2 x 3 x 128 x 157 = 120576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120576

Therefore, the GCF of Fractions 4889/768,7209/942 is 1/120576

Least Common Multiple of 768,942 with GCF Formula

Least Common Multiple of 768,942 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 768,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,942) = 6

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

GCF(768,942) x common factors =6 x 1 = 6

LCM(768,942) = ( 768 × 942 ) / 6

LCM(768,942) = 723456 / 6

LCM(768,942) = 120576


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 4889/768, 7209/942

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 4889/768, 7209/942?

Answer: GCF of Numerators as per given numbers 4889/768, 7209/942 is

GCF of Numerators i.e. for 4889,7209 is 1

LCM of denominators i.e. for 768,942 is 120576.

Thus, GCF of Fractions is 1/120576.Finally, GCF of Fractions for 4889/768, 7209/942 is 1/120576.