GCD of 36, 867, 649, 901 Calculator

Given Input numbers are 36, 867, 649, 901

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

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 36, 867, 649, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 867, 649, 901 is 1.

Therefore, GCD of numbers 36, 867, 649, 901 is 1

Given Input Data is 36, 867, 649, 901

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

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 649 is 11 x 59

Prime Factorization of 901 is 17 x 53

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(36, 867) = 10404

GCD(36, 867) = ( 36 x 867 ) / 10404

GCD(36, 867) = 31212 / 10404

GCD(36, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 649

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

LCM(3, 649) = 1947

GCD(3, 649) = ( 3 x 649 ) / 1947

GCD(3, 649) = 1947 / 1947

GCD(3, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 36, 867, 649, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 331, 692, 428
• GCD of 54, 208, 485, 834
• GCD of 72, 759, 498, 608
• GCD of 59, 925, 900, 432
• GCD of 76, 140, 325, 995

1. What is the GCD of 36, 867, 649, 901?

GCD of 36, 867, 649, 901 is 1

2. Where do I get the detailed procedure to find GCD of 36, 867, 649, 901?

You can find a detailed procedure to find GCD of 36, 867, 649, 901 on our page.

3. How to find GCD of 36, 867, 649, 901 on a calculator?

You can find the GCD of 36, 867, 649, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.