Greatest Common Factor of 960/21, 809/24, 193/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/21, 809/24, 193/74

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 960/21,809/24,193/74

Given fractions are 960/21,809/24,193/74

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 960,809,193

Greatest Common Factor of Numerators i.e. GCF of 960,809,193 is 1 .

LCM of Denominators means LCM of 21,24,74 as per the given fractions.

LCM of 21,24,74 is 6216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,809,193

GCF of Fractions 960/21,809/24,193/74 is 1/6216

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

Greatest Common Factor of 960,809,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,809,193 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

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 960,809,193 . The biggest common factor number is the GCF number.
So the greatest common factor 960,809,193 is 1.

Lets's calculate LCM of 21,24,74

2 21, 24, 74
3 21, 12, 37
7, 4, 37

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 37 = 6216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6216

Therefore, the GCF of Fractions 960/21,809/24,193/74 is 1/6216

Least Common Multiple of 21,24,74 with GCF Formula

Least Common Multiple of 21,24,74 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 21,24,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,24,74) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(21,24,74) x common factors =1 x 6 = 6

LCM(21,24,74) = ( 21 × 24 × 74 ) / 6

LCM(21,24,74) = 37296 / 6

LCM(21,24,74) = 6216


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 960/21, 809/24, 193/74

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 960/21, 809/24, 193/74?

Answer: GCF of Numerators as per given numbers 960/21, 809/24, 193/74 is

GCF of Numerators i.e. for 960,809,193 is 1

LCM of denominators i.e. for 21,24,74 is 6216.

Thus, GCF of Fractions is 1/6216.Finally, GCF of Fractions for 960/21, 809/24, 193/74 is 1/6216.