GCD of 180, 602, 146 Calculator

Given Input numbers are 180, 602, 146

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 180

List of positive integer divisors 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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 180, 602, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 602, 146 is 2.

Therefore, GCD of numbers 180, 602, 146 is 2

Given Input Data is 180, 602, 146

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 146 is 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(180, 602) = 54180

GCD(180, 602) = ( 180 x 602 ) / 54180

GCD(180, 602) = 108360 / 54180

GCD(180, 602) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 180, 602, 146 is 2

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1. What is the GCD of 180, 602, 146?

GCD of 180, 602, 146 is 2

2. Where do I get the detailed procedure to find GCD of 180, 602, 146?

You can find a detailed procedure to find GCD of 180, 602, 146 on our page.

3. How to find GCD of 180, 602, 146 on a calculator?

You can find the GCD of 180, 602, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.