GCD of 396, 180, 37, 420 Calculator

Given Input numbers are 396, 180, 37, 420

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 396, 180, 37, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 180, 37, 420 is 1.

Therefore, GCD of numbers 396, 180, 37, 420 is 1

Given Input Data is 396, 180, 37, 420

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 37 is 37

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(396, 180) = 1980

GCD(396, 180) = ( 396 x 180 ) / 1980

GCD(396, 180) = 71280 / 1980

GCD(396, 180) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 37

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

LCM(36, 37) = 1332

GCD(36, 37) = ( 36 x 37 ) / 1332

GCD(36, 37) = 1332 / 1332

GCD(36, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 396, 180, 37, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 345, 49, 747
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• GCD of 270, 304, 24, 264
• GCD of 465, 911, 19, 427
• GCD of 887, 314, 53, 513

1. What is the GCD of 396, 180, 37, 420?

GCD of 396, 180, 37, 420 is 1

2. Where do I get the detailed procedure to find GCD of 396, 180, 37, 420?

You can find a detailed procedure to find GCD of 396, 180, 37, 420 on our page.

3. How to find GCD of 396, 180, 37, 420 on a calculator?

You can find the GCD of 396, 180, 37, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.