GCD of 208, 587, 36, 300 Calculator

Given Input numbers are 208, 587, 36, 300

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 208, 587, 36, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 587, 36, 300 is 1.

Therefore, GCD of numbers 208, 587, 36, 300 is 1

Given Input Data is 208, 587, 36, 300

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 587 is 587

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 300 is 2 x 2 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(208, 587) = 122096

GCD(208, 587) = ( 208 x 587 ) / 122096

GCD(208, 587) = 122096 / 122096

GCD(208, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 208, 587, 36, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 587, 48, 335
• GCD of 664, 439, 12, 583
• GCD of 704, 630, 79, 994
• GCD of 288, 342, 33, 949
• GCD of 321, 778, 21, 944

1. What is the GCD of 208, 587, 36, 300?

GCD of 208, 587, 36, 300 is 1

2. Where do I get the detailed procedure to find GCD of 208, 587, 36, 300?

You can find a detailed procedure to find GCD of 208, 587, 36, 300 on our page.

3. How to find GCD of 208, 587, 36, 300 on a calculator?

You can find the GCD of 208, 587, 36, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.