Greatest Common Factor of 594/33, 3610/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/33, 3610/492

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 594/33,3610/492

Given fractions are 594/33,3610/492

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 594,3610

Greatest Common Factor of Numerators i.e. GCF of 594,3610 is 2 .

LCM of Denominators means LCM of 33,492 as per the given fractions.

LCM of 33,492 is 5412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,3610

GCF of Fractions 594/33,3610/492 is 2/5412

2 594, 3610
297, 1805

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 594,3610 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,3610 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 3610

List of positive integer factors of 3610 that divides 3610 without a remainder.

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 594,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 594,3610 is 2.

Lets's calculate LCM of 33,492

3 33, 492
11, 164

∴ So the LCM of the given numbers is 3 x 11 x 164 = 5412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5412

Therefore, the GCF of Fractions 594/33,3610/492 is 2/5412

Least Common Multiple of 33,492 with GCF Formula

Least Common Multiple of 33,492 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 33,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,492) = 3

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

GCF(33,492) x common factors =3 x 1 = 3

LCM(33,492) = ( 33 × 492 ) / 3

LCM(33,492) = 16236 / 3

LCM(33,492) = 5412


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 594/33, 3610/492

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 594/33, 3610/492?

Answer: GCF of Numerators as per given numbers 594/33, 3610/492 is

GCF of Numerators i.e. for 594,3610 is 2

LCM of denominators i.e. for 33,492 is 5412.

Thus, GCF of Fractions is 2/5412.Finally, GCF of Fractions for 594/33, 3610/492 is 2/5412.