Greatest Common Factor of 384/318, 978/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/318, 978/215

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 384/318,978/215

Given fractions are 384/318,978/215

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 384,978

Greatest Common Factor of Numerators i.e. GCF of 384,978 is 6 .

LCM of Denominators means LCM of 318,215 as per the given fractions.

LCM of 318,215 is 68370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,978

GCF of Fractions 384/318,978/215 is 6/68370

2 384, 978
3 192, 489
64, 163

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 384,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,978 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 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 384,978 . The biggest common factor number is the GCF number.
So the greatest common factor 384,978 is 6.

Lets's calculate LCM of 318,215

Given numbers has no common factors except 1. So, there LCM is their product i.e 68370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/68370

Therefore, the GCF of Fractions 384/318,978/215 is 6/68370

Least Common Multiple of 318,215 with GCF Formula

Least Common Multiple of 318,215 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 318,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,215) = 1

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

GCF(318,215) x common factors =1 x 1 = 1

LCM(318,215) = ( 318 × 215 ) / 1

LCM(318,215) = 68370 / 1

LCM(318,215) = 68370


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 384/318, 978/215

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 384/318, 978/215?

Answer: GCF of Numerators as per given numbers 384/318, 978/215 is

GCF of Numerators i.e. for 384,978 is 6

LCM of denominators i.e. for 318,215 is 68370.

Thus, GCF of Fractions is 6/68370.Finally, GCF of Fractions for 384/318, 978/215 is 6/68370.