GCD of 162, 372, 413 Calculator

Given Input numbers are 162, 372, 413

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 162, 372, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 372, 413 is 1.

Therefore, GCD of numbers 162, 372, 413 is 1

Given Input Data is 162, 372, 413

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 413 is 7 x 59

The above numbers do not have any common prime factor. So GCD is 1

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(162, 372) = 10044

GCD(162, 372) = ( 162 x 372 ) / 10044

GCD(162, 372) = 60264 / 10044

GCD(162, 372) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 413

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

LCM(6, 413) = 2478

GCD(6, 413) = ( 6 x 413 ) / 2478

GCD(6, 413) = 2478 / 2478

GCD(6, 413) = 1

GCD of 162, 372, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 884, 403
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• GCD of 934, 757, 589
• GCD of 744, 714, 431

1. What is the GCD of 162, 372, 413?

GCD of 162, 372, 413 is 1

2. Where do I get the detailed procedure to find GCD of 162, 372, 413?

You can find a detailed procedure to find GCD of 162, 372, 413 on our page.

3. How to find GCD of 162, 372, 413 on a calculator?

You can find the GCD of 162, 372, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.