Greatest Common Factor of 99/735, 506/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/735, 506/861

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 99/735,506/861

Given fractions are 99/735,506/861

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 99,506

Greatest Common Factor of Numerators i.e. GCF of 99,506 is 11 .

LCM of Denominators means LCM of 735,861 as per the given fractions.

LCM of 735,861 is 30135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,506

GCF of Fractions 99/735,506/861 is 11/30135

11 99, 506
9, 46

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 99,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,506 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 99,506 . The biggest common factor number is the GCF number.
So the greatest common factor 99,506 is 11.

Lets's calculate LCM of 735,861

3 735, 861
7 245, 287
35, 41

∴ So the LCM of the given numbers is 3 x 7 x 35 x 41 = 30135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/30135

Therefore, the GCF of Fractions 99/735,506/861 is 11/30135

Least Common Multiple of 735,861 with GCF Formula

Least Common Multiple of 735,861 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 735,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,861) = 21

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

GCF(735,861) x common factors =21 x 1 = 21

LCM(735,861) = ( 735 × 861 ) / 21

LCM(735,861) = 632835 / 21

LCM(735,861) = 30135


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 99/735, 506/861

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 99/735, 506/861?

Answer: GCF of Numerators as per given numbers 99/735, 506/861 is

GCF of Numerators i.e. for 99,506 is 11

LCM of denominators i.e. for 735,861 is 30135.

Thus, GCF of Fractions is 11/30135.Finally, GCF of Fractions for 99/735, 506/861 is 11/30135.