Greatest Common Factor of 384/17, 741/15, 840/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/17, 741/15, 840/594

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 384/17,741/15,840/594

Given fractions are 384/17,741/15,840/594

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 384,741,840

Greatest Common Factor of Numerators i.e. GCF of 384,741,840 is 3 .

LCM of Denominators means LCM of 17,15,594 as per the given fractions.

LCM of 17,15,594 is 50490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,741,840

GCF of Fractions 384/17,741/15,840/594 is 3/50490

3 384, 741, 840
128, 247, 280

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 384,741,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,741,840 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 384,741,840 . The biggest common factor number is the GCF number.
So the greatest common factor 384,741,840 is 3.

Lets's calculate LCM of 17,15,594

3 17, 15, 594
17, 5, 198

∴ So the LCM of the given numbers is 3 x 17 x 5 x 198 = 50490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50490

Therefore, the GCF of Fractions 384/17,741/15,840/594 is 3/50490

Least Common Multiple of 17,15,594 with GCF Formula

Least Common Multiple of 17,15,594 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 17,15,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,15,594) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(17,15,594) x common factors =1 x 3 = 3

LCM(17,15,594) = ( 17 × 15 × 594 ) / 3

LCM(17,15,594) = 151470 / 3

LCM(17,15,594) = 50490


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 384/17, 741/15, 840/594

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 384/17, 741/15, 840/594?

Answer: GCF of Numerators as per given numbers 384/17, 741/15, 840/594 is

GCF of Numerators i.e. for 384,741,840 is 3

LCM of denominators i.e. for 17,15,594 is 50490.

Thus, GCF of Fractions is 3/50490.Finally, GCF of Fractions for 384/17, 741/15, 840/594 is 3/50490.