Greatest Common Factor of 491/65, 160/94, 578/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/65, 160/94, 578/789

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 491/65,160/94,578/789

Given fractions are 491/65,160/94,578/789

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 491,160,578

Greatest Common Factor of Numerators i.e. GCF of 491,160,578 is 1 .

LCM of Denominators means LCM of 65,94,789 as per the given fractions.

LCM of 65,94,789 is 4820790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,160,578

GCF of Fractions 491/65,160/94,578/789 is 1/4820790

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

Greatest Common Factor of 491,160,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,160,578 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 491,160,578 . The biggest common factor number is the GCF number.
So the greatest common factor 491,160,578 is 1.

Lets's calculate LCM of 65,94,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 4820790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4820790

Therefore, the GCF of Fractions 491/65,160/94,578/789 is 1/4820790

Least Common Multiple of 65,94,789 with GCF Formula

Least Common Multiple of 65,94,789 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 65,94,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,94,789) = 1

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

GCF(65,94,789) x common factors =1 x 1 = 1

LCM(65,94,789) = ( 65 × 94 × 789 ) / 1

LCM(65,94,789) = 4820790 / 1

LCM(65,94,789) = 4820790


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 491/65, 160/94, 578/789

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 491/65, 160/94, 578/789?

Answer: GCF of Numerators as per given numbers 491/65, 160/94, 578/789 is

GCF of Numerators i.e. for 491,160,578 is 1

LCM of denominators i.e. for 65,94,789 is 4820790.

Thus, GCF of Fractions is 1/4820790.Finally, GCF of Fractions for 491/65, 160/94, 578/789 is 1/4820790.