Greatest Common Factor of 4694/18, 8213/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4694/18, 8213/313

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 4694/18,8213/313

Given fractions are 4694/18,8213/313

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 4694,8213

Greatest Common Factor of Numerators i.e. GCF of 4694,8213 is 1 .

LCM of Denominators means LCM of 18,313 as per the given fractions.

LCM of 18,313 is 5634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4694,8213

GCF of Fractions 4694/18,8213/313 is 1/5634

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

Greatest Common Factor of 4694,8213 By Matching Biggest Common Factor Method

Greatest Common Factor of 4694,8213 By Matching Biggest Common Factor Method

Factors of 4694

List of positive integer factors of 4694 that divides 4694 without a remainder.

1,2,2347,4694

Factors of 8213

List of positive integer factors of 8213 that divides 8213 without a remainder.

1,43,191,8213

Greatest Common Factor

We found the factors 4694,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 4694,8213 is 1.

Lets's calculate LCM of 18,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 5634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5634

Therefore, the GCF of Fractions 4694/18,8213/313 is 1/5634

Least Common Multiple of 18,313 with GCF Formula

Least Common Multiple of 18,313 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 18,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,313) = 1

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

GCF(18,313) x common factors =1 x 1 = 1

LCM(18,313) = ( 18 × 313 ) / 1

LCM(18,313) = 5634 / 1

LCM(18,313) = 5634


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 4694/18, 8213/313

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 4694/18, 8213/313?

Answer: GCF of Numerators as per given numbers 4694/18, 8213/313 is

GCF of Numerators i.e. for 4694,8213 is 1

LCM of denominators i.e. for 18,313 is 5634.

Thus, GCF of Fractions is 1/5634.Finally, GCF of Fractions for 4694/18, 8213/313 is 1/5634.