Greatest Common Factor of 9486/594, 2604/3066

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9486/594, 2604/3066

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 9486/594,2604/3066

Given fractions are 9486/594,2604/3066

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 9486,2604

Greatest Common Factor of Numerators i.e. GCF of 9486,2604 is 186 .

LCM of Denominators means LCM of 594,3066 as per the given fractions.

LCM of 594,3066 is 303534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9486,2604

GCF of Fractions 9486/594,2604/3066 is 186/303534

2 9486, 2604
3 4743, 1302
31 1581, 434
51, 14

∴ So the GCF of the given numbers is 2 x 3 x 31 = 186

Greatest Common Factor of 9486,2604 By Matching Biggest Common Factor Method

Greatest Common Factor of 9486,2604 By Matching Biggest Common Factor Method

Factors of 9486

List of positive integer factors of 9486 that divides 9486 without a remainder.

1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486

Factors of 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604

Greatest Common Factor

We found the factors 9486,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 9486,2604 is 186.

Lets's calculate LCM of 594,3066

2 594, 3066
3 297, 1533
99, 511

∴ So the LCM of the given numbers is 2 x 3 x 99 x 511 = 303534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 186/303534

Therefore, the GCF of Fractions 9486/594,2604/3066 is 186/303534

Least Common Multiple of 594,3066 with GCF Formula

Least Common Multiple of 594,3066 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 594,3066 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,3066) = 6

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

GCF(594,3066) x common factors =6 x 1 = 6

LCM(594,3066) = ( 594 × 3066 ) / 6

LCM(594,3066) = 1821204 / 6

LCM(594,3066) = 303534


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 9486/594, 2604/3066

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 9486/594, 2604/3066?

Answer: GCF of Numerators as per given numbers 9486/594, 2604/3066 is

GCF of Numerators i.e. for 9486,2604 is 186

LCM of denominators i.e. for 594,3066 is 303534.

Thus, GCF of Fractions is 186/303534.Finally, GCF of Fractions for 9486/594, 2604/3066 is 186/303534.