Greatest Common Factor of 114/365, 120/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 114/365, 120/578

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 114/365,120/578

Given fractions are 114/365,120/578

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 114,120

Greatest Common Factor of Numerators i.e. GCF of 114,120 is 6 .

LCM of Denominators means LCM of 365,578 as per the given fractions.

LCM of 365,578 is 210970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 114,120

GCF of Fractions 114/365,120/578 is 6/210970

2 114, 120
3 57, 60
19, 20

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

Greatest Common Factor of 114,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 114,120 By Matching Biggest Common Factor Method

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

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 114,120 . The biggest common factor number is the GCF number.
So the greatest common factor 114,120 is 6.

Lets's calculate LCM of 365,578

Given numbers has no common factors except 1. So, there LCM is their product i.e 210970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/210970

Therefore, the GCF of Fractions 114/365,120/578 is 6/210970

Least Common Multiple of 365,578 with GCF Formula

Least Common Multiple of 365,578 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 365,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,578) = 1

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

GCF(365,578) x common factors =1 x 1 = 1

LCM(365,578) = ( 365 × 578 ) / 1

LCM(365,578) = 210970 / 1

LCM(365,578) = 210970


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 114/365, 120/578

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 114/365, 120/578?

Answer: GCF of Numerators as per given numbers 114/365, 120/578 is

GCF of Numerators i.e. for 114,120 is 6

LCM of denominators i.e. for 365,578 is 210970.

Thus, GCF of Fractions is 6/210970.Finally, GCF of Fractions for 114/365, 120/578 is 6/210970.