Greatest Common Factor of 8233/66, 3013/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8233/66, 3013/596

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 8233/66,3013/596

Given fractions are 8233/66,3013/596

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 8233,3013

Greatest Common Factor of Numerators i.e. GCF of 8233,3013 is 1 .

LCM of Denominators means LCM of 66,596 as per the given fractions.

LCM of 66,596 is 19668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8233,3013

GCF of Fractions 8233/66,3013/596 is 1/19668

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

Greatest Common Factor of 8233,3013 By Matching Biggest Common Factor Method

Greatest Common Factor of 8233,3013 By Matching Biggest Common Factor Method

Factors of 8233

List of positive integer factors of 8233 that divides 8233 without a remainder.

1,8233

Factors of 3013

List of positive integer factors of 3013 that divides 3013 without a remainder.

1,23,131,3013

Greatest Common Factor

We found the factors 8233,3013 . The biggest common factor number is the GCF number.
So the greatest common factor 8233,3013 is 1.

Lets's calculate LCM of 66,596

2 66, 596
33, 298

∴ So the LCM of the given numbers is 2 x 33 x 298 = 19668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19668

Therefore, the GCF of Fractions 8233/66,3013/596 is 1/19668

Least Common Multiple of 66,596 with GCF Formula

Least Common Multiple of 66,596 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 66,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,596) = 2

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

GCF(66,596) x common factors =2 x 1 = 2

LCM(66,596) = ( 66 × 596 ) / 2

LCM(66,596) = 39336 / 2

LCM(66,596) = 19668


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 8233/66, 3013/596

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 8233/66, 3013/596?

Answer: GCF of Numerators as per given numbers 8233/66, 3013/596 is

GCF of Numerators i.e. for 8233,3013 is 1

LCM of denominators i.e. for 66,596 is 19668.

Thus, GCF of Fractions is 1/19668.Finally, GCF of Fractions for 8233/66, 3013/596 is 1/19668.