Greatest Common Factor of 960/67, 653/39, 789/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 960/67, 653/39, 789/60

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 960/67,653/39,789/60

Given fractions are 960/67,653/39,789/60

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 960,653,789

Greatest Common Factor of Numerators i.e. GCF of 960,653,789 is 1 .

LCM of Denominators means LCM of 67,39,60 as per the given fractions.

LCM of 67,39,60 is 52260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 960,653,789

GCF of Fractions 960/67,653/39,789/60 is 1/52260

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

Greatest Common Factor of 960,653,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,653,789 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 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 960,653,789 . The biggest common factor number is the GCF number.
So the greatest common factor 960,653,789 is 1.

Lets's calculate LCM of 67,39,60

3 67, 39, 60
67, 13, 20

∴ So the LCM of the given numbers is 3 x 67 x 13 x 20 = 52260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52260

Therefore, the GCF of Fractions 960/67,653/39,789/60 is 1/52260

Least Common Multiple of 67,39,60 with GCF Formula

Least Common Multiple of 67,39,60 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 67,39,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,39,60) = 1

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

GCF(67,39,60) x common factors =1 x 3 = 3

LCM(67,39,60) = ( 67 × 39 × 60 ) / 3

LCM(67,39,60) = 156780 / 3

LCM(67,39,60) = 52260


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 960/67, 653/39, 789/60

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 960/67, 653/39, 789/60?

Answer: GCF of Numerators as per given numbers 960/67, 653/39, 789/60 is

GCF of Numerators i.e. for 960,653,789 is 1

LCM of denominators i.e. for 67,39,60 is 52260.

Thus, GCF of Fractions is 1/52260.Finally, GCF of Fractions for 960/67, 653/39, 789/60 is 1/52260.