Greatest Common Factor of 312/128, 744/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 312/128, 744/594

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 312/128,744/594

Given fractions are 312/128,744/594

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 312,744

Greatest Common Factor of Numerators i.e. GCF of 312,744 is 24 .

LCM of Denominators means LCM of 128,594 as per the given fractions.

LCM of 128,594 is 38016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 312,744

GCF of Fractions 312/128,744/594 is 24/38016

2 312, 744
2 156, 372
2 78, 186
3 39, 93
13, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 312,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,744 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 312,744 . The biggest common factor number is the GCF number.
So the greatest common factor 312,744 is 24.

Lets's calculate LCM of 128,594

2 128, 594
64, 297

∴ So the LCM of the given numbers is 2 x 64 x 297 = 38016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/38016

Therefore, the GCF of Fractions 312/128,744/594 is 24/38016

Least Common Multiple of 128,594 with GCF Formula

Least Common Multiple of 128,594 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 128,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,594) = 2

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

GCF(128,594) x common factors =2 x 1 = 2

LCM(128,594) = ( 128 × 594 ) / 2

LCM(128,594) = 76032 / 2

LCM(128,594) = 38016


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 312/128, 744/594

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 312/128, 744/594?

Answer: GCF of Numerators as per given numbers 312/128, 744/594 is

GCF of Numerators i.e. for 312,744 is 24

LCM of denominators i.e. for 128,594 is 38016.

Thus, GCF of Fractions is 24/38016.Finally, GCF of Fractions for 312/128, 744/594 is 24/38016.