Greatest Common Factor of 13/18, 17/85, 972/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/18, 17/85, 972/236

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 13/18,17/85,972/236

Given fractions are 13/18,17/85,972/236

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 13,17,972

Greatest Common Factor of Numerators i.e. GCF of 13,17,972 is 1 .

LCM of Denominators means LCM of 18,85,236 as per the given fractions.

LCM of 18,85,236 is 180540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,17,972

GCF of Fractions 13/18,17/85,972/236 is 1/180540

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

Greatest Common Factor of 13,17,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,17,972 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 17

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

1,17

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 13,17,972 . The biggest common factor number is the GCF number.
So the greatest common factor 13,17,972 is 1.

Lets's calculate LCM of 18,85,236

2 18, 85, 236
9, 85, 118

∴ So the LCM of the given numbers is 2 x 9 x 85 x 118 = 180540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180540

Therefore, the GCF of Fractions 13/18,17/85,972/236 is 1/180540

Least Common Multiple of 18,85,236 with GCF Formula

Least Common Multiple of 18,85,236 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 18,85,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,85,236) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(18,85,236) x common factors =1 x 2 = 2

LCM(18,85,236) = ( 18 × 85 × 236 ) / 2

LCM(18,85,236) = 361080 / 2

LCM(18,85,236) = 180540


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 13/18, 17/85, 972/236

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 13/18, 17/85, 972/236?

Answer: GCF of Numerators as per given numbers 13/18, 17/85, 972/236 is

GCF of Numerators i.e. for 13,17,972 is 1

LCM of denominators i.e. for 18,85,236 is 180540.

Thus, GCF of Fractions is 1/180540.Finally, GCF of Fractions for 13/18, 17/85, 972/236 is 1/180540.