Greatest Common Factor of 594/951, 306/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/951, 306/806

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 594/951,306/806

Given fractions are 594/951,306/806

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 594,306

Greatest Common Factor of Numerators i.e. GCF of 594,306 is 18 .

LCM of Denominators means LCM of 951,806 as per the given fractions.

LCM of 951,806 is 766506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,306

GCF of Fractions 594/951,306/806 is 18/766506

2 594, 306
3 297, 153
3 99, 51
33, 17

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 594,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,306 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 594,306 . The biggest common factor number is the GCF number.
So the greatest common factor 594,306 is 18.

Lets's calculate LCM of 951,806

Given numbers has no common factors except 1. So, there LCM is their product i.e 766506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/766506

Therefore, the GCF of Fractions 594/951,306/806 is 18/766506

Least Common Multiple of 951,806 with GCF Formula

Least Common Multiple of 951,806 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 951,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,806) = 1

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

GCF(951,806) x common factors =1 x 1 = 1

LCM(951,806) = ( 951 × 806 ) / 1

LCM(951,806) = 766506 / 1

LCM(951,806) = 766506


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 594/951, 306/806

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 594/951, 306/806?

Answer: GCF of Numerators as per given numbers 594/951, 306/806 is

GCF of Numerators i.e. for 594,306 is 18

LCM of denominators i.e. for 951,806 is 766506.

Thus, GCF of Fractions is 18/766506.Finally, GCF of Fractions for 594/951, 306/806 is 18/766506.