Greatest Common Factor of 120/613, 999/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 120/613, 999/351

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 120/613,999/351

Given fractions are 120/613,999/351

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 120,999

Greatest Common Factor of Numerators i.e. GCF of 120,999 is 3 .

LCM of Denominators means LCM of 613,351 as per the given fractions.

LCM of 613,351 is 215163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 120,999

GCF of Fractions 120/613,999/351 is 3/215163

3 120, 999
40, 333

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 120,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,999 By Matching Biggest Common Factor Method

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

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 120,999 . The biggest common factor number is the GCF number.
So the greatest common factor 120,999 is 3.

Lets's calculate LCM of 613,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 215163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/215163

Therefore, the GCF of Fractions 120/613,999/351 is 3/215163

Least Common Multiple of 613,351 with GCF Formula

Least Common Multiple of 613,351 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 613,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,351) = 1

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

GCF(613,351) x common factors =1 x 1 = 1

LCM(613,351) = ( 613 × 351 ) / 1

LCM(613,351) = 215163 / 1

LCM(613,351) = 215163


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 120/613, 999/351

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 120/613, 999/351?

Answer: GCF of Numerators as per given numbers 120/613, 999/351 is

GCF of Numerators i.e. for 120,999 is 3

LCM of denominators i.e. for 613,351 is 215163.

Thus, GCF of Fractions is 3/215163.Finally, GCF of Fractions for 120/613, 999/351 is 3/215163.