Greatest Common Factor of 21/37, 68/76, 12/63, 65/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/37, 68/76, 12/63, 65/999

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 21/37,68/76,12/63,65/999

Given fractions are 21/37,68/76,12/63,65/999

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 21,68,12,65

Greatest Common Factor of Numerators i.e. GCF of 21,68,12,65 is 1 .

LCM of Denominators means LCM of 37,76,63,999 as per the given fractions.

LCM of 37,76,63,999 is 531468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,68,12,65

GCF of Fractions 21/37,68/76,12/63,65/999 is 1/531468

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

Greatest Common Factor of 21,68,12,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,68,12,65 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 21,68,12,65 . The biggest common factor number is the GCF number.
So the greatest common factor 21,68,12,65 is 1.

Lets's calculate LCM of 37,76,63,999

3 37, 76, 63, 999
3 37, 76, 21, 333
37 37, 76, 7, 111
1, 76, 7, 3

∴ So the LCM of the given numbers is 3 x 3 x 37 x 1 x 76 x 7 x 3 = 531468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531468

Therefore, the GCF of Fractions 21/37,68/76,12/63,65/999 is 1/531468

Least Common Multiple of 37,76,63,999 with GCF Formula

Least Common Multiple of 37,76,63,999 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 37,76,63,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,76,63,999) = 1

common factors(in case of two or more numbers have common factors) = 333

GCF(37,76,63,999) x common factors =1 x 333 = 333

LCM(37,76,63,999) = ( 37 × 76 × 63 × 999 ) / 333

LCM(37,76,63,999) = 176978844 / 333

LCM(37,76,63,999) = 531468


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 21/37, 68/76, 12/63, 65/999

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 21/37, 68/76, 12/63, 65/999?

Answer: GCF of Numerators as per given numbers 21/37, 68/76, 12/63, 65/999 is

GCF of Numerators i.e. for 21,68,12,65 is 1

LCM of denominators i.e. for 37,76,63,999 is 531468.

Thus, GCF of Fractions is 1/531468.Finally, GCF of Fractions for 21/37, 68/76, 12/63, 65/999 is 1/531468.