GCD of 108, 355, 362, 900 Calculator

Given Input numbers are 108, 355, 362, 900

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 108, 355, 362, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 355, 362, 900 is 1.

Therefore, GCD of numbers 108, 355, 362, 900 is 1

Given Input Data is 108, 355, 362, 900

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 355 is 5 x 71

Prime Factorization of 362 is 2 x 181

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(108, 355) = 38340

GCD(108, 355) = ( 108 x 355 ) / 38340

GCD(108, 355) = 38340 / 38340

GCD(108, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 108, 355, 362, 900 is 1

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1. What is the GCD of 108, 355, 362, 900?

GCD of 108, 355, 362, 900 is 1

2. Where do I get the detailed procedure to find GCD of 108, 355, 362, 900?

You can find a detailed procedure to find GCD of 108, 355, 362, 900 on our page.

3. How to find GCD of 108, 355, 362, 900 on a calculator?

You can find the GCD of 108, 355, 362, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.