Greatest Common Factor of 762/729, 198/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 762/729, 198/589

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 762/729,198/589

Given fractions are 762/729,198/589

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 762,198

Greatest Common Factor of Numerators i.e. GCF of 762,198 is 6 .

LCM of Denominators means LCM of 729,589 as per the given fractions.

LCM of 729,589 is 429381 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 762,198

GCF of Fractions 762/729,198/589 is 6/429381

2 762, 198
3 381, 99
127, 33

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 762,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,198 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 762,198 . The biggest common factor number is the GCF number.
So the greatest common factor 762,198 is 6.

Lets's calculate LCM of 729,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 429381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/429381

Therefore, the GCF of Fractions 762/729,198/589 is 6/429381

Least Common Multiple of 729,589 with GCF Formula

Least Common Multiple of 729,589 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 729,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,589) = 1

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

GCF(729,589) x common factors =1 x 1 = 1

LCM(729,589) = ( 729 × 589 ) / 1

LCM(729,589) = 429381 / 1

LCM(729,589) = 429381


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 762/729, 198/589

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 762/729, 198/589?

Answer: GCF of Numerators as per given numbers 762/729, 198/589 is

GCF of Numerators i.e. for 762,198 is 6

LCM of denominators i.e. for 729,589 is 429381.

Thus, GCF of Fractions is 6/429381.Finally, GCF of Fractions for 762/729, 198/589 is 6/429381.