Greatest Common Factor of 8491/189, 5314/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8491/189, 5314/808

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 8491/189,5314/808

Given fractions are 8491/189,5314/808

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 8491,5314

Greatest Common Factor of Numerators i.e. GCF of 8491,5314 is 1 .

LCM of Denominators means LCM of 189,808 as per the given fractions.

LCM of 189,808 is 152712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8491,5314

GCF of Fractions 8491/189,5314/808 is 1/152712

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

Greatest Common Factor of 8491,5314 By Matching Biggest Common Factor Method

Greatest Common Factor of 8491,5314 By Matching Biggest Common Factor Method

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Greatest Common Factor

We found the factors 8491,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 8491,5314 is 1.

Lets's calculate LCM of 189,808

Given numbers has no common factors except 1. So, there LCM is their product i.e 152712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152712

Therefore, the GCF of Fractions 8491/189,5314/808 is 1/152712

Least Common Multiple of 189,808 with GCF Formula

Least Common Multiple of 189,808 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 189,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,808) = 1

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

GCF(189,808) x common factors =1 x 1 = 1

LCM(189,808) = ( 189 × 808 ) / 1

LCM(189,808) = 152712 / 1

LCM(189,808) = 152712


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 8491/189, 5314/808

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 8491/189, 5314/808?

Answer: GCF of Numerators as per given numbers 8491/189, 5314/808 is

GCF of Numerators i.e. for 8491,5314 is 1

LCM of denominators i.e. for 189,808 is 152712.

Thus, GCF of Fractions is 1/152712.Finally, GCF of Fractions for 8491/189, 5314/808 is 1/152712.