Greatest Common Factor of 21/66, 99/36, 52/88, 74/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/66, 99/36, 52/88, 74/493

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 21/66,99/36,52/88,74/493

Given fractions are 21/66,99/36,52/88,74/493

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 21,99,52,74

Greatest Common Factor of Numerators i.e. GCF of 21,99,52,74 is 1 .

LCM of Denominators means LCM of 66,36,88,493 as per the given fractions.

LCM of 66,36,88,493 is 390456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,99,52,74

GCF of Fractions 21/66,99/36,52/88,74/493 is 1/390456

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

Greatest Common Factor of 21,99,52,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,99,52,74 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 21,99,52,74 . The biggest common factor number is the GCF number.
So the greatest common factor 21,99,52,74 is 1.

Lets's calculate LCM of 66,36,88,493

2 66, 36, 88, 493
2 33, 18, 44, 493
3 33, 9, 22, 493
11 11, 3, 22, 493
1, 3, 2, 493

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 3 x 2 x 493 = 390456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390456

Therefore, the GCF of Fractions 21/66,99/36,52/88,74/493 is 1/390456

Least Common Multiple of 66,36,88,493 with GCF Formula

Least Common Multiple of 66,36,88,493 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 66,36,88,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,36,88,493) = 1

common factors(in case of two or more numbers have common factors) = 264

GCF(66,36,88,493) x common factors =1 x 264 = 264

LCM(66,36,88,493) = ( 66 × 36 × 88 × 493 ) / 264

LCM(66,36,88,493) = 103080384 / 264

LCM(66,36,88,493) = 390456


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 21/66, 99/36, 52/88, 74/493

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 21/66, 99/36, 52/88, 74/493?

Answer: GCF of Numerators as per given numbers 21/66, 99/36, 52/88, 74/493 is

GCF of Numerators i.e. for 21,99,52,74 is 1

LCM of denominators i.e. for 66,36,88,493 is 390456.

Thus, GCF of Fractions is 1/390456.Finally, GCF of Fractions for 21/66, 99/36, 52/88, 74/493 is 1/390456.