Greatest Common Factor of 21/14, 99/82, 264/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/14, 99/82, 264/359

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 21/14,99/82,264/359

Given fractions are 21/14,99/82,264/359

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 21,99,264

Greatest Common Factor of Numerators i.e. GCF of 21,99,264 is 3 .

LCM of Denominators means LCM of 14,82,359 as per the given fractions.

LCM of 14,82,359 is 206066 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,99,264

GCF of Fractions 21/14,99/82,264/359 is 3/206066

3 21, 99, 264
7, 33, 88

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

Greatest Common Factor of 21,99,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,99,264 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 99

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

1,3,9,11,33,99

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 21,99,264 . The biggest common factor number is the GCF number.
So the greatest common factor 21,99,264 is 3.

Lets's calculate LCM of 14,82,359

2 14, 82, 359
7, 41, 359

∴ So the LCM of the given numbers is 2 x 7 x 41 x 359 = 206066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/206066

Therefore, the GCF of Fractions 21/14,99/82,264/359 is 3/206066

Least Common Multiple of 14,82,359 with GCF Formula

Least Common Multiple of 14,82,359 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 14,82,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,82,359) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,82,359) x common factors =1 x 2 = 2

LCM(14,82,359) = ( 14 × 82 × 359 ) / 2

LCM(14,82,359) = 412132 / 2

LCM(14,82,359) = 206066


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 21/14, 99/82, 264/359

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 21/14, 99/82, 264/359?

Answer: GCF of Numerators as per given numbers 21/14, 99/82, 264/359 is

GCF of Numerators i.e. for 21,99,264 is 3

LCM of denominators i.e. for 14,82,359 is 206066.

Thus, GCF of Fractions is 3/206066.Finally, GCF of Fractions for 21/14, 99/82, 264/359 is 3/206066.