Greatest Common Factor of 199/20, 288/78, 724/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 199/20, 288/78, 724/71

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 199/20,288/78,724/71

Given fractions are 199/20,288/78,724/71

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 199,288,724

Greatest Common Factor of Numerators i.e. GCF of 199,288,724 is 1 .

LCM of Denominators means LCM of 20,78,71 as per the given fractions.

LCM of 20,78,71 is 55380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 199,288,724

GCF of Fractions 199/20,288/78,724/71 is 1/55380

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

Greatest Common Factor of 199,288,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,288,724 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 199,288,724 . The biggest common factor number is the GCF number.
So the greatest common factor 199,288,724 is 1.

Lets's calculate LCM of 20,78,71

2 20, 78, 71
10, 39, 71

∴ So the LCM of the given numbers is 2 x 10 x 39 x 71 = 55380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55380

Therefore, the GCF of Fractions 199/20,288/78,724/71 is 1/55380

Least Common Multiple of 20,78,71 with GCF Formula

Least Common Multiple of 20,78,71 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 20,78,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,78,71) = 1

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

GCF(20,78,71) x common factors =1 x 2 = 2

LCM(20,78,71) = ( 20 × 78 × 71 ) / 2

LCM(20,78,71) = 110760 / 2

LCM(20,78,71) = 55380


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 199/20, 288/78, 724/71

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 199/20, 288/78, 724/71?

Answer: GCF of Numerators as per given numbers 199/20, 288/78, 724/71 is

GCF of Numerators i.e. for 199,288,724 is 1

LCM of denominators i.e. for 20,78,71 is 55380.

Thus, GCF of Fractions is 1/55380.Finally, GCF of Fractions for 199/20, 288/78, 724/71 is 1/55380.