Greatest Common Factor of 60/190, 255/339, 120/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/190, 255/339, 120/697

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 60/190,255/339,120/697

Given fractions are 60/190,255/339,120/697

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 60,255,120

Greatest Common Factor of Numerators i.e. GCF of 60,255,120 is 15 .

LCM of Denominators means LCM of 190,339,697 as per the given fractions.

LCM of 190,339,697 is 44893770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,255,120

GCF of Fractions 60/190,255/339,120/697 is 15/44893770

3 60, 255, 120
5 20, 85, 40
4, 17, 8

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 60,255,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,255,120 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

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 60,255,120 . The biggest common factor number is the GCF number.
So the greatest common factor 60,255,120 is 15.

Lets's calculate LCM of 190,339,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 44893770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/44893770

Therefore, the GCF of Fractions 60/190,255/339,120/697 is 15/44893770

Least Common Multiple of 190,339,697 with GCF Formula

Least Common Multiple of 190,339,697 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 190,339,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,339,697) = 1

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

GCF(190,339,697) x common factors =1 x 1 = 1

LCM(190,339,697) = ( 190 × 339 × 697 ) / 1

LCM(190,339,697) = 44893770 / 1

LCM(190,339,697) = 44893770


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 60/190, 255/339, 120/697

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 60/190, 255/339, 120/697?

Answer: GCF of Numerators as per given numbers 60/190, 255/339, 120/697 is

GCF of Numerators i.e. for 60,255,120 is 15

LCM of denominators i.e. for 190,339,697 is 44893770.

Thus, GCF of Fractions is 15/44893770.Finally, GCF of Fractions for 60/190, 255/339, 120/697 is 15/44893770.