Greatest Common Factor of 594/13, 794/58, 390/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/13, 794/58, 390/460

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 594/13,794/58,390/460

Given fractions are 594/13,794/58,390/460

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 594,794,390

Greatest Common Factor of Numerators i.e. GCF of 594,794,390 is 2 .

LCM of Denominators means LCM of 13,58,460 as per the given fractions.

LCM of 13,58,460 is 173420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,794,390

GCF of Fractions 594/13,794/58,390/460 is 2/173420

2 594, 794, 390
297, 397, 195

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

Greatest Common Factor of 594,794,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,794,390 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 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 594,794,390 . The biggest common factor number is the GCF number.
So the greatest common factor 594,794,390 is 2.

Lets's calculate LCM of 13,58,460

2 13, 58, 460
13, 29, 230

∴ So the LCM of the given numbers is 2 x 13 x 29 x 230 = 173420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173420

Therefore, the GCF of Fractions 594/13,794/58,390/460 is 2/173420

Least Common Multiple of 13,58,460 with GCF Formula

Least Common Multiple of 13,58,460 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 13,58,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,58,460) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,58,460) x common factors =1 x 2 = 2

LCM(13,58,460) = ( 13 × 58 × 460 ) / 2

LCM(13,58,460) = 346840 / 2

LCM(13,58,460) = 173420


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 594/13, 794/58, 390/460

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 594/13, 794/58, 390/460?

Answer: GCF of Numerators as per given numbers 594/13, 794/58, 390/460 is

GCF of Numerators i.e. for 594,794,390 is 2

LCM of denominators i.e. for 13,58,460 is 173420.

Thus, GCF of Fractions is 2/173420.Finally, GCF of Fractions for 594/13, 794/58, 390/460 is 2/173420.