Greatest Common Factor of 13/38, 12/15, 96/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/38, 12/15, 96/369

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 13/38,12/15,96/369

Given fractions are 13/38,12/15,96/369

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 13,12,96

Greatest Common Factor of Numerators i.e. GCF of 13,12,96 is 1 .

LCM of Denominators means LCM of 38,15,369 as per the given fractions.

LCM of 38,15,369 is 70110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,12,96

GCF of Fractions 13/38,12/15,96/369 is 1/70110

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

Greatest Common Factor of 13,12,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,12,96 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 13,12,96 . The biggest common factor number is the GCF number.
So the greatest common factor 13,12,96 is 1.

Lets's calculate LCM of 38,15,369

3 38, 15, 369
38, 5, 123

∴ So the LCM of the given numbers is 3 x 38 x 5 x 123 = 70110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70110

Therefore, the GCF of Fractions 13/38,12/15,96/369 is 1/70110

Least Common Multiple of 38,15,369 with GCF Formula

Least Common Multiple of 38,15,369 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 38,15,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,15,369) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(38,15,369) x common factors =1 x 3 = 3

LCM(38,15,369) = ( 38 × 15 × 369 ) / 3

LCM(38,15,369) = 210330 / 3

LCM(38,15,369) = 70110


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 13/38, 12/15, 96/369

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 13/38, 12/15, 96/369?

Answer: GCF of Numerators as per given numbers 13/38, 12/15, 96/369 is

GCF of Numerators i.e. for 13,12,96 is 1

LCM of denominators i.e. for 38,15,369 is 70110.

Thus, GCF of Fractions is 1/70110.Finally, GCF of Fractions for 13/38, 12/15, 96/369 is 1/70110.