Greatest Common Factor of 52/12, 20/10, 56/85, 17/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/12, 20/10, 56/85, 17/190

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 52/12,20/10,56/85,17/190

Given fractions are 52/12,20/10,56/85,17/190

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 52,20,56,17

Greatest Common Factor of Numerators i.e. GCF of 52,20,56,17 is 1 .

LCM of Denominators means LCM of 12,10,85,190 as per the given fractions.

LCM of 12,10,85,190 is 19380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,20,56,17

GCF of Fractions 52/12,20/10,56/85,17/190 is 1/19380

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

Greatest Common Factor of 52,20,56,17 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,20,56,17 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Greatest Common Factor

We found the factors 52,20,56,17 . The biggest common factor number is the GCF number.
So the greatest common factor 52,20,56,17 is 1.

Lets's calculate LCM of 12,10,85,190

2 12, 10, 85, 190
5 6, 5, 85, 95
6, 1, 17, 19

∴ So the LCM of the given numbers is 2 x 5 x 6 x 1 x 17 x 19 = 19380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19380

Therefore, the GCF of Fractions 52/12,20/10,56/85,17/190 is 1/19380

Least Common Multiple of 12,10,85,190 with GCF Formula

Least Common Multiple of 12,10,85,190 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 12,10,85,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,10,85,190) = 1

common factors(in case of two or more numbers have common factors) = 100

GCF(12,10,85,190) x common factors =1 x 100 = 100

LCM(12,10,85,190) = ( 12 × 10 × 85 × 190 ) / 100

LCM(12,10,85,190) = 1938000 / 100

LCM(12,10,85,190) = 19380


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 52/12, 20/10, 56/85, 17/190

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 52/12, 20/10, 56/85, 17/190?

Answer: GCF of Numerators as per given numbers 52/12, 20/10, 56/85, 17/190 is

GCF of Numerators i.e. for 52,20,56,17 is 1

LCM of denominators i.e. for 12,10,85,190 is 19380.

Thus, GCF of Fractions is 1/19380.Finally, GCF of Fractions for 52/12, 20/10, 56/85, 17/190 is 1/19380.