Greatest Common Factor of 595/384, 120/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 595/384, 120/409

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 595/384,120/409

Given fractions are 595/384,120/409

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 595,120

Greatest Common Factor of Numerators i.e. GCF of 595,120 is 5 .

LCM of Denominators means LCM of 384,409 as per the given fractions.

LCM of 384,409 is 157056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 595,120

GCF of Fractions 595/384,120/409 is 5/157056

5 595, 120
119, 24

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 595,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,120 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 595,120 . The biggest common factor number is the GCF number.
So the greatest common factor 595,120 is 5.

Lets's calculate LCM of 384,409

Given numbers has no common factors except 1. So, there LCM is their product i.e 157056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/157056

Therefore, the GCF of Fractions 595/384,120/409 is 5/157056

Least Common Multiple of 384,409 with GCF Formula

Least Common Multiple of 384,409 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 384,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,409) = 1

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

GCF(384,409) x common factors =1 x 1 = 1

LCM(384,409) = ( 384 × 409 ) / 1

LCM(384,409) = 157056 / 1

LCM(384,409) = 157056


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 595/384, 120/409

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 595/384, 120/409?

Answer: GCF of Numerators as per given numbers 595/384, 120/409 is

GCF of Numerators i.e. for 595,120 is 5

LCM of denominators i.e. for 384,409 is 157056.

Thus, GCF of Fractions is 5/157056.Finally, GCF of Fractions for 595/384, 120/409 is 5/157056.