Greatest Common Factor of 864/14, 157/19, 193/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/14, 157/19, 193/30

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 864/14,157/19,193/30

Given fractions are 864/14,157/19,193/30

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 864,157,193

Greatest Common Factor of Numerators i.e. GCF of 864,157,193 is 1 .

LCM of Denominators means LCM of 14,19,30 as per the given fractions.

LCM of 14,19,30 is 3990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,157,193

GCF of Fractions 864/14,157/19,193/30 is 1/3990

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

Greatest Common Factor of 864,157,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,157,193 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 864,157,193 . The biggest common factor number is the GCF number.
So the greatest common factor 864,157,193 is 1.

Lets's calculate LCM of 14,19,30

2 14, 19, 30
7, 19, 15

∴ So the LCM of the given numbers is 2 x 7 x 19 x 15 = 3990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3990

Therefore, the GCF of Fractions 864/14,157/19,193/30 is 1/3990

Least Common Multiple of 14,19,30 with GCF Formula

Least Common Multiple of 14,19,30 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 14,19,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,19,30) = 1

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

GCF(14,19,30) x common factors =1 x 2 = 2

LCM(14,19,30) = ( 14 × 19 × 30 ) / 2

LCM(14,19,30) = 7980 / 2

LCM(14,19,30) = 3990


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 864/14, 157/19, 193/30

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 864/14, 157/19, 193/30?

Answer: GCF of Numerators as per given numbers 864/14, 157/19, 193/30 is

GCF of Numerators i.e. for 864,157,193 is 1

LCM of denominators i.e. for 14,19,30 is 3990.

Thus, GCF of Fractions is 1/3990.Finally, GCF of Fractions for 864/14, 157/19, 193/30 is 1/3990.