Greatest Common Factor of 39/20, 55/21, 664/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/20, 55/21, 664/612

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 39/20,55/21,664/612

Given fractions are 39/20,55/21,664/612

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 39,55,664

Greatest Common Factor of Numerators i.e. GCF of 39,55,664 is 1 .

LCM of Denominators means LCM of 20,21,612 as per the given fractions.

LCM of 20,21,612 is 21420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,55,664

GCF of Fractions 39/20,55/21,664/612 is 1/21420

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

Greatest Common Factor of 39,55,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,55,664 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 39,55,664 . The biggest common factor number is the GCF number.
So the greatest common factor 39,55,664 is 1.

Lets's calculate LCM of 20,21,612

2 20, 21, 612
2 10, 21, 306
3 5, 21, 153
5, 7, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 51 = 21420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21420

Therefore, the GCF of Fractions 39/20,55/21,664/612 is 1/21420

Least Common Multiple of 20,21,612 with GCF Formula

Least Common Multiple of 20,21,612 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 20,21,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,21,612) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(20,21,612) x common factors =1 x 12 = 12

LCM(20,21,612) = ( 20 × 21 × 612 ) / 12

LCM(20,21,612) = 257040 / 12

LCM(20,21,612) = 21420


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 39/20, 55/21, 664/612

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 39/20, 55/21, 664/612?

Answer: GCF of Numerators as per given numbers 39/20, 55/21, 664/612 is

GCF of Numerators i.e. for 39,55,664 is 1

LCM of denominators i.e. for 20,21,612 is 21420.

Thus, GCF of Fractions is 1/21420.Finally, GCF of Fractions for 39/20, 55/21, 664/612 is 1/21420.