Greatest Common Factor of 99/761, 195/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/761, 195/729

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 99/761,195/729

Given fractions are 99/761,195/729

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 99,195

Greatest Common Factor of Numerators i.e. GCF of 99,195 is 3 .

LCM of Denominators means LCM of 761,729 as per the given fractions.

LCM of 761,729 is 554769 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,195

GCF of Fractions 99/761,195/729 is 3/554769

3 99, 195
33, 65

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 99,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,195 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 99,195 . The biggest common factor number is the GCF number.
So the greatest common factor 99,195 is 3.

Lets's calculate LCM of 761,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 554769

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/554769

Therefore, the GCF of Fractions 99/761,195/729 is 3/554769

Least Common Multiple of 761,729 with GCF Formula

Least Common Multiple of 761,729 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 761,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,729) = 1

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

GCF(761,729) x common factors =1 x 1 = 1

LCM(761,729) = ( 761 × 729 ) / 1

LCM(761,729) = 554769 / 1

LCM(761,729) = 554769


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 99/761, 195/729

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 99/761, 195/729?

Answer: GCF of Numerators as per given numbers 99/761, 195/729 is

GCF of Numerators i.e. for 99,195 is 3

LCM of denominators i.e. for 761,729 is 554769.

Thus, GCF of Fractions is 3/554769.Finally, GCF of Fractions for 99/761, 195/729 is 3/554769.