GCD of 360, 396, 37, 166 Calculator

Given Input numbers are 360, 396, 37, 166

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 37

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

1, 37

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 360, 396, 37, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 396, 37, 166 is 1.

Therefore, GCD of numbers 360, 396, 37, 166 is 1

Given Input Data is 360, 396, 37, 166

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 37 is 37

Prime Factorization of 166 is 2 x 83

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(360, 396) = 3960

GCD(360, 396) = ( 360 x 396 ) / 3960

GCD(360, 396) = 142560 / 3960

GCD(360, 396) = 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 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 360, 396, 37, 166 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 194, 99, 455
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• GCD of 864, 942, 51, 692
• GCD of 793, 361, 57, 581

1. What is the GCD of 360, 396, 37, 166?

GCD of 360, 396, 37, 166 is 1

2. Where do I get the detailed procedure to find GCD of 360, 396, 37, 166?

You can find a detailed procedure to find GCD of 360, 396, 37, 166 on our page.

3. How to find GCD of 360, 396, 37, 166 on a calculator?

You can find the GCD of 360, 396, 37, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.