Greatest Common Factor of 59/78, 66/60, 39/20, 59/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/78, 66/60, 39/20, 59/571

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 59/78,66/60,39/20,59/571

Given fractions are 59/78,66/60,39/20,59/571

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 59,66,39,59

Greatest Common Factor of Numerators i.e. GCF of 59,66,39,59 is 1 .

LCM of Denominators means LCM of 78,60,20,571 as per the given fractions.

LCM of 78,60,20,571 is 445380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,66,39,59

GCF of Fractions 59/78,66/60,39/20,59/571 is 1/445380

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

Greatest Common Factor of 59,66,39,59 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,66,39,59 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 39

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

1,3,13,39

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Greatest Common Factor

We found the factors 59,66,39,59 . The biggest common factor number is the GCF number.
So the greatest common factor 59,66,39,59 is 1.

Lets's calculate LCM of 78,60,20,571

2 78, 60, 20, 571
2 39, 30, 10, 571
3 39, 15, 5, 571
5 13, 5, 5, 571
13, 1, 1, 571

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 1 x 571 = 445380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445380

Therefore, the GCF of Fractions 59/78,66/60,39/20,59/571 is 1/445380

Least Common Multiple of 78,60,20,571 with GCF Formula

Least Common Multiple of 78,60,20,571 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 78,60,20,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,60,20,571) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(78,60,20,571) x common factors =1 x 120 = 120

LCM(78,60,20,571) = ( 78 × 60 × 20 × 571 ) / 120

LCM(78,60,20,571) = 53445600 / 120

LCM(78,60,20,571) = 445380


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 59/78, 66/60, 39/20, 59/571

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 59/78, 66/60, 39/20, 59/571?

Answer: GCF of Numerators as per given numbers 59/78, 66/60, 39/20, 59/571 is

GCF of Numerators i.e. for 59,66,39,59 is 1

LCM of denominators i.e. for 78,60,20,571 is 445380.

Thus, GCF of Fractions is 1/445380.Finally, GCF of Fractions for 59/78, 66/60, 39/20, 59/571 is 1/445380.