Greatest Common Factor of 6/20, 32/20, 11/580, 678/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/20, 32/20, 11/580, 678/245

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 6/20,32/20,11/580,678/245

Given fractions are 6/20,32/20,11/580,678/245

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 6,32,11,678

Greatest Common Factor of Numerators i.e. GCF of 6,32,11,678 is 1 .

LCM of Denominators means LCM of 20,20,580,245 as per the given fractions.

LCM of 20,20,580,245 is 28420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,32,11,678

GCF of Fractions 6/20,32/20,11/580,678/245 is 1/28420

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

Greatest Common Factor of 6,32,11,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,32,11,678 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 6,32,11,678 . The biggest common factor number is the GCF number.
So the greatest common factor 6,32,11,678 is 1.

Lets's calculate LCM of 20,20,580,245

2 20, 20, 580, 245
2 10, 10, 290, 245
5 5, 5, 145, 245
1, 1, 29, 49

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 29 x 49 = 28420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28420

Therefore, the GCF of Fractions 6/20,32/20,11/580,678/245 is 1/28420

Least Common Multiple of 20,20,580,245 with GCF Formula

Least Common Multiple of 20,20,580,245 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 20,20,580,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,20,580,245) = 5

common factors(in case of two or more numbers have common factors) = 400

GCF(20,20,580,245) x common factors =5 x 400 = 2000

LCM(20,20,580,245) = ( 20 × 20 × 580 × 245 ) / 2000

LCM(20,20,580,245) = 56840000 / 2000

LCM(20,20,580,245) = 28420


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 6/20, 32/20, 11/580, 678/245

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 6/20, 32/20, 11/580, 678/245?

Answer: GCF of Numerators as per given numbers 6/20, 32/20, 11/580, 678/245 is

GCF of Numerators i.e. for 6,32,11,678 is 1

LCM of denominators i.e. for 20,20,580,245 is 28420.

Thus, GCF of Fractions is 1/28420.Finally, GCF of Fractions for 6/20, 32/20, 11/580, 678/245 is 1/28420.