Greatest Common Factor of 8313/486, 4595/9602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8313/486, 4595/9602

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 8313/486,4595/9602

Given fractions are 8313/486,4595/9602

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 8313,4595

Greatest Common Factor of Numerators i.e. GCF of 8313,4595 is 1 .

LCM of Denominators means LCM of 486,9602 as per the given fractions.

LCM of 486,9602 is 2333286 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8313,4595

GCF of Fractions 8313/486,4595/9602 is 1/2333286

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

Greatest Common Factor of 8313,4595 By Matching Biggest Common Factor Method

Greatest Common Factor of 8313,4595 By Matching Biggest Common Factor Method

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Factors of 4595

List of positive integer factors of 4595 that divides 4595 without a remainder.

1,5,919,4595

Greatest Common Factor

We found the factors 8313,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 8313,4595 is 1.

Lets's calculate LCM of 486,9602

2 486, 9602
243, 4801

∴ So the LCM of the given numbers is 2 x 243 x 4801 = 2333286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2333286

Therefore, the GCF of Fractions 8313/486,4595/9602 is 1/2333286

Least Common Multiple of 486,9602 with GCF Formula

Least Common Multiple of 486,9602 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 486,9602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,9602) = 2

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

GCF(486,9602) x common factors =2 x 1 = 2

LCM(486,9602) = ( 486 × 9602 ) / 2

LCM(486,9602) = 4666572 / 2

LCM(486,9602) = 2333286


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 8313/486, 4595/9602

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 8313/486, 4595/9602?

Answer: GCF of Numerators as per given numbers 8313/486, 4595/9602 is

GCF of Numerators i.e. for 8313,4595 is 1

LCM of denominators i.e. for 486,9602 is 2333286.

Thus, GCF of Fractions is 1/2333286.Finally, GCF of Fractions for 8313/486, 4595/9602 is 1/2333286.