GCD of 209, 155, 65, 900 Calculator

Given Input numbers are 209, 155, 65, 900

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 209, 155, 65, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 155, 65, 900 is 1.

Therefore, GCD of numbers 209, 155, 65, 900 is 1

Given Input Data is 209, 155, 65, 900

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 155 is 5 x 31

Prime Factorization of 65 is 5 x 13

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(209, 155) = 32395

GCD(209, 155) = ( 209 x 155 ) / 32395

GCD(209, 155) = 32395 / 32395

GCD(209, 155) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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 209, 155, 65, 900 is 1

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1. What is the GCD of 209, 155, 65, 900?

GCD of 209, 155, 65, 900 is 1

2. Where do I get the detailed procedure to find GCD of 209, 155, 65, 900?

You can find a detailed procedure to find GCD of 209, 155, 65, 900 on our page.

3. How to find GCD of 209, 155, 65, 900 on a calculator?

You can find the GCD of 209, 155, 65, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.