Greatest Common Factor of 180/25, 120/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/25, 120/351

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 180/25,120/351

Given fractions are 180/25,120/351

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 180,120

Greatest Common Factor of Numerators i.e. GCF of 180,120 is 60 .

LCM of Denominators means LCM of 25,351 as per the given fractions.

LCM of 25,351 is 8775 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,120

GCF of Fractions 180/25,120/351 is 60/8775

2 180, 120
2 90, 60
3 45, 30
5 15, 10
3, 2

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

Greatest Common Factor of 180,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,120 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

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 180,120 . The biggest common factor number is the GCF number.
So the greatest common factor 180,120 is 60.

Lets's calculate LCM of 25,351

Given numbers has no common factors except 1. So, there LCM is their product i.e 8775

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 60/8775

Therefore, the GCF of Fractions 180/25,120/351 is 60/8775

Least Common Multiple of 25,351 with GCF Formula

Least Common Multiple of 25,351 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 25,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,351) = 1

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

GCF(25,351) x common factors =1 x 1 = 1

LCM(25,351) = ( 25 × 351 ) / 1

LCM(25,351) = 8775 / 1

LCM(25,351) = 8775


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 180/25, 120/351

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 180/25, 120/351?

Answer: GCF of Numerators as per given numbers 180/25, 120/351 is

GCF of Numerators i.e. for 180,120 is 60

LCM of denominators i.e. for 25,351 is 8775.

Thus, GCF of Fractions is 60/8775.Finally, GCF of Fractions for 180/25, 120/351 is 60/8775.