GCD of 900, 137, 218 Calculator

Given Input numbers are 900, 137, 218

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 900, 137, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 137, 218 is 1.

Therefore, GCD of numbers 900, 137, 218 is 1

Given Input Data is 900, 137, 218

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 137 is 137

Prime Factorization of 218 is 2 x 109

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, 137) = 123300

GCD(900, 137) = ( 900 x 137 ) / 123300

GCD(900, 137) = 123300 / 123300

GCD(900, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 900, 137, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 760, 738
• GCD of 783, 767, 201
• GCD of 679, 240, 435
• GCD of 500, 247, 108
• GCD of 142, 919, 276

1. What is the GCD of 900, 137, 218?

GCD of 900, 137, 218 is 1

2. Where do I get the detailed procedure to find GCD of 900, 137, 218?

You can find a detailed procedure to find GCD of 900, 137, 218 on our page.

3. How to find GCD of 900, 137, 218 on a calculator?

You can find the GCD of 900, 137, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.