Greatest Common Factor of 80/27, 78/61, 79/20, 82/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/27, 78/61, 79/20, 82/335

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 80/27,78/61,79/20,82/335

Given fractions are 80/27,78/61,79/20,82/335

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 80,78,79,82

Greatest Common Factor of Numerators i.e. GCF of 80,78,79,82 is 1 .

LCM of Denominators means LCM of 27,61,20,335 as per the given fractions.

LCM of 27,61,20,335 is 2206980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,78,79,82

GCF of Fractions 80/27,78/61,79/20,82/335 is 1/2206980

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

Greatest Common Factor of 80,78,79,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,78,79,82 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 80,78,79,82 . The biggest common factor number is the GCF number.
So the greatest common factor 80,78,79,82 is 1.

Lets's calculate LCM of 27,61,20,335

5 27, 61, 20, 335
27, 61, 4, 67

∴ So the LCM of the given numbers is 5 x 27 x 61 x 4 x 67 = 2206980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2206980

Therefore, the GCF of Fractions 80/27,78/61,79/20,82/335 is 1/2206980

Least Common Multiple of 27,61,20,335 with GCF Formula

Least Common Multiple of 27,61,20,335 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 27,61,20,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,61,20,335) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(27,61,20,335) x common factors =1 x 5 = 5

LCM(27,61,20,335) = ( 27 × 61 × 20 × 335 ) / 5

LCM(27,61,20,335) = 11034900 / 5

LCM(27,61,20,335) = 2206980


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 80/27, 78/61, 79/20, 82/335

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 80/27, 78/61, 79/20, 82/335?

Answer: GCF of Numerators as per given numbers 80/27, 78/61, 79/20, 82/335 is

GCF of Numerators i.e. for 80,78,79,82 is 1

LCM of denominators i.e. for 27,61,20,335 is 2206980.

Thus, GCF of Fractions is 1/2206980.Finally, GCF of Fractions for 80/27, 78/61, 79/20, 82/335 is 1/2206980.