Greatest Common Factor of 336/25, 384/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/25, 384/161

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 336/25,384/161

Given fractions are 336/25,384/161

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 336,384

Greatest Common Factor of Numerators i.e. GCF of 336,384 is 48 .

LCM of Denominators means LCM of 25,161 as per the given fractions.

LCM of 25,161 is 4025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,384

GCF of Fractions 336/25,384/161 is 48/4025

2 336, 384
2 168, 192
2 84, 96
2 42, 48
3 21, 24
7, 8

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 336,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,384 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

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

Greatest Common Factor

We found the factors 336,384 . The biggest common factor number is the GCF number.
So the greatest common factor 336,384 is 48.

Lets's calculate LCM of 25,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 4025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/4025

Therefore, the GCF of Fractions 336/25,384/161 is 48/4025

Least Common Multiple of 25,161 with GCF Formula

Least Common Multiple of 25,161 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 25,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,161) = 1

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

GCF(25,161) x common factors =1 x 1 = 1

LCM(25,161) = ( 25 × 161 ) / 1

LCM(25,161) = 4025 / 1

LCM(25,161) = 4025


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 336/25, 384/161

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 336/25, 384/161?

Answer: GCF of Numerators as per given numbers 336/25, 384/161 is

GCF of Numerators i.e. for 336,384 is 48

LCM of denominators i.e. for 25,161 is 4025.

Thus, GCF of Fractions is 48/4025.Finally, GCF of Fractions for 336/25, 384/161 is 48/4025.