Greatest Common Factor of 180/412, 498/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 180/412, 498/162

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 180/412,498/162

Given fractions are 180/412,498/162

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 180,498

Greatest Common Factor of Numerators i.e. GCF of 180,498 is 6 .

LCM of Denominators means LCM of 412,162 as per the given fractions.

LCM of 412,162 is 33372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 180,498

GCF of Fractions 180/412,498/162 is 6/33372

2 180, 498
3 90, 249
30, 83

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

Greatest Common Factor of 180,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,498 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 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 180,498 . The biggest common factor number is the GCF number.
So the greatest common factor 180,498 is 6.

Lets's calculate LCM of 412,162

2 412, 162
206, 81

∴ So the LCM of the given numbers is 2 x 206 x 81 = 33372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/33372

Therefore, the GCF of Fractions 180/412,498/162 is 6/33372

Least Common Multiple of 412,162 with GCF Formula

Least Common Multiple of 412,162 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 412,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,162) = 2

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

GCF(412,162) x common factors =2 x 1 = 2

LCM(412,162) = ( 412 × 162 ) / 2

LCM(412,162) = 66744 / 2

LCM(412,162) = 33372


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 180/412, 498/162

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 180/412, 498/162?

Answer: GCF of Numerators as per given numbers 180/412, 498/162 is

GCF of Numerators i.e. for 180,498 is 6

LCM of denominators i.e. for 412,162 is 33372.

Thus, GCF of Fractions is 6/33372.Finally, GCF of Fractions for 180/412, 498/162 is 6/33372.