Greatest Common Factor of 8518/159, 9491/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8518/159, 9491/296

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 8518/159,9491/296

Given fractions are 8518/159,9491/296

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 8518,9491

Greatest Common Factor of Numerators i.e. GCF of 8518,9491 is 1 .

LCM of Denominators means LCM of 159,296 as per the given fractions.

LCM of 159,296 is 47064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8518,9491

GCF of Fractions 8518/159,9491/296 is 1/47064

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

Greatest Common Factor of 8518,9491 By Matching Biggest Common Factor Method

Greatest Common Factor of 8518,9491 By Matching Biggest Common Factor Method

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1,2,4259,8518

Factors of 9491

List of positive integer factors of 9491 that divides 9491 without a remainder.

1,9491

Greatest Common Factor

We found the factors 8518,9491 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,9491 is 1.

Lets's calculate LCM of 159,296

Given numbers has no common factors except 1. So, there LCM is their product i.e 47064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47064

Therefore, the GCF of Fractions 8518/159,9491/296 is 1/47064

Least Common Multiple of 159,296 with GCF Formula

Least Common Multiple of 159,296 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 159,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,296) = 1

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

GCF(159,296) x common factors =1 x 1 = 1

LCM(159,296) = ( 159 × 296 ) / 1

LCM(159,296) = 47064 / 1

LCM(159,296) = 47064


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 8518/159, 9491/296

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 8518/159, 9491/296?

Answer: GCF of Numerators as per given numbers 8518/159, 9491/296 is

GCF of Numerators i.e. for 8518,9491 is 1

LCM of denominators i.e. for 159,296 is 47064.

Thus, GCF of Fractions is 1/47064.Finally, GCF of Fractions for 8518/159, 9491/296 is 1/47064.