Greatest Common Factor of 592/27, 168/64, 314/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 592/27, 168/64, 314/19

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 592/27,168/64,314/19

Given fractions are 592/27,168/64,314/19

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 592,168,314

Greatest Common Factor of Numerators i.e. GCF of 592,168,314 is 2 .

LCM of Denominators means LCM of 27,64,19 as per the given fractions.

LCM of 27,64,19 is 32832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 592,168,314

GCF of Fractions 592/27,168/64,314/19 is 2/32832

2 592, 168, 314
296, 84, 157

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

Greatest Common Factor of 592,168,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,168,314 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 592,168,314 . The biggest common factor number is the GCF number.
So the greatest common factor 592,168,314 is 2.

Lets's calculate LCM of 27,64,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 32832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32832

Therefore, the GCF of Fractions 592/27,168/64,314/19 is 2/32832

Least Common Multiple of 27,64,19 with GCF Formula

Least Common Multiple of 27,64,19 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 27,64,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,64,19) = 1

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

GCF(27,64,19) x common factors =1 x 1 = 1

LCM(27,64,19) = ( 27 × 64 × 19 ) / 1

LCM(27,64,19) = 32832 / 1

LCM(27,64,19) = 32832


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 592/27, 168/64, 314/19

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 592/27, 168/64, 314/19?

Answer: GCF of Numerators as per given numbers 592/27, 168/64, 314/19 is

GCF of Numerators i.e. for 592,168,314 is 2

LCM of denominators i.e. for 27,64,19 is 32832.

Thus, GCF of Fractions is 2/32832.Finally, GCF of Fractions for 592/27, 168/64, 314/19 is 2/32832.