Greatest Common Factor of 15/19, 35/96, 380/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/19, 35/96, 380/40

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 15/19,35/96,380/40

Given fractions are 15/19,35/96,380/40

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 15,35,380

Greatest Common Factor of Numerators i.e. GCF of 15,35,380 is 5 .

LCM of Denominators means LCM of 19,96,40 as per the given fractions.

LCM of 19,96,40 is 9120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,35,380

GCF of Fractions 15/19,35/96,380/40 is 5/9120

5 15, 35, 380
3, 7, 76

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 15,35,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,35,380 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 15,35,380 . The biggest common factor number is the GCF number.
So the greatest common factor 15,35,380 is 5.

Lets's calculate LCM of 19,96,40

2 19, 96, 40
2 19, 48, 20
2 19, 24, 10
19, 12, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 12 x 5 = 9120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/9120

Therefore, the GCF of Fractions 15/19,35/96,380/40 is 5/9120

Least Common Multiple of 19,96,40 with GCF Formula

Least Common Multiple of 19,96,40 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 19,96,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,96,40) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(19,96,40) x common factors =1 x 8 = 8

LCM(19,96,40) = ( 19 × 96 × 40 ) / 8

LCM(19,96,40) = 72960 / 8

LCM(19,96,40) = 9120


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 15/19, 35/96, 380/40

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 15/19, 35/96, 380/40?

Answer: GCF of Numerators as per given numbers 15/19, 35/96, 380/40 is

GCF of Numerators i.e. for 15,35,380 is 5

LCM of denominators i.e. for 19,96,40 is 9120.

Thus, GCF of Fractions is 5/9120.Finally, GCF of Fractions for 15/19, 35/96, 380/40 is 5/9120.