Greatest Common Factor of 388/978, 9006/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 388/978, 9006/256

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 388/978,9006/256

Given fractions are 388/978,9006/256

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 388,9006

Greatest Common Factor of Numerators i.e. GCF of 388,9006 is 2 .

LCM of Denominators means LCM of 978,256 as per the given fractions.

LCM of 978,256 is 125184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 388,9006

GCF of Fractions 388/978,9006/256 is 2/125184

2 388, 9006
194, 4503

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

Greatest Common Factor of 388,9006 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,9006 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Greatest Common Factor

We found the factors 388,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 388,9006 is 2.

Lets's calculate LCM of 978,256

2 978, 256
489, 128

∴ So the LCM of the given numbers is 2 x 489 x 128 = 125184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/125184

Therefore, the GCF of Fractions 388/978,9006/256 is 2/125184

Least Common Multiple of 978,256 with GCF Formula

Least Common Multiple of 978,256 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 978,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,256) = 2

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

GCF(978,256) x common factors =2 x 1 = 2

LCM(978,256) = ( 978 × 256 ) / 2

LCM(978,256) = 250368 / 2

LCM(978,256) = 125184


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 388/978, 9006/256

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 388/978, 9006/256?

Answer: GCF of Numerators as per given numbers 388/978, 9006/256 is

GCF of Numerators i.e. for 388,9006 is 2

LCM of denominators i.e. for 978,256 is 125184.

Thus, GCF of Fractions is 2/125184.Finally, GCF of Fractions for 388/978, 9006/256 is 2/125184.