Greatest Common Factor of 789/15, 680/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 789/15, 680/741

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 789/15,680/741

Given fractions are 789/15,680/741

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 789,680

Greatest Common Factor of Numerators i.e. GCF of 789,680 is 1 .

LCM of Denominators means LCM of 15,741 as per the given fractions.

LCM of 15,741 is 3705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 789,680

GCF of Fractions 789/15,680/741 is 1/3705

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

Greatest Common Factor of 789,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,680 By Matching Biggest Common Factor Method

Factors of 789

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

1,3,263,789

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 789,680 . The biggest common factor number is the GCF number.
So the greatest common factor 789,680 is 1.

Lets's calculate LCM of 15,741

3 15, 741
5, 247

∴ So the LCM of the given numbers is 3 x 5 x 247 = 3705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3705

Therefore, the GCF of Fractions 789/15,680/741 is 1/3705

Least Common Multiple of 15,741 with GCF Formula

Least Common Multiple of 15,741 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 15,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,741) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(15,741) x common factors =3 x 1 = 3

LCM(15,741) = ( 15 × 741 ) / 3

LCM(15,741) = 11115 / 3

LCM(15,741) = 3705


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 789/15, 680/741

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 789/15, 680/741?

Answer: GCF of Numerators as per given numbers 789/15, 680/741 is

GCF of Numerators i.e. for 789,680 is 1

LCM of denominators i.e. for 15,741 is 3705.

Thus, GCF of Fractions is 1/3705.Finally, GCF of Fractions for 789/15, 680/741 is 1/3705.