GCD of 900, 136, 43, 204 Calculator

Given Input numbers are 900, 136, 43, 204

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

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 900, 136, 43, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 136, 43, 204 is 1.

Therefore, GCD of numbers 900, 136, 43, 204 is 1

Given Input Data is 900, 136, 43, 204

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

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 43 is 43

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(900, 136) = 30600

GCD(900, 136) = ( 900 x 136 ) / 30600

GCD(900, 136) = 122400 / 30600

GCD(900, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 900, 136, 43, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 455, 31, 529
• GCD of 760, 759, 84, 546
• GCD of 240, 918, 35, 281
• GCD of 848, 949, 11, 359
• GCD of 459, 236, 47, 515

1. What is the GCD of 900, 136, 43, 204?

GCD of 900, 136, 43, 204 is 1

2. Where do I get the detailed procedure to find GCD of 900, 136, 43, 204?

You can find a detailed procedure to find GCD of 900, 136, 43, 204 on our page.

3. How to find GCD of 900, 136, 43, 204 on a calculator?

You can find the GCD of 900, 136, 43, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.