GCD of 36, 722, 108, 721 Calculator

Given Input numbers are 36, 722, 108, 721

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 36, 722, 108, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 722, 108, 721 is 1.

Therefore, GCD of numbers 36, 722, 108, 721 is 1

Given Input Data is 36, 722, 108, 721

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 722 is 2 x 19 x 19

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 721 is 7 x 103

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, 722) = 12996

GCD(36, 722) = ( 36 x 722 ) / 12996

GCD(36, 722) = 25992 / 12996

GCD(36, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 1

GCD of 36, 722, 108, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 347, 747, 222
• GCD of 78, 938, 722, 194
• GCD of 47, 932, 117, 732
• GCD of 16, 420, 389, 126
• GCD of 78, 556, 972, 891

1. What is the GCD of 36, 722, 108, 721?

GCD of 36, 722, 108, 721 is 1

2. Where do I get the detailed procedure to find GCD of 36, 722, 108, 721?

You can find a detailed procedure to find GCD of 36, 722, 108, 721 on our page.

3. How to find GCD of 36, 722, 108, 721 on a calculator?

You can find the GCD of 36, 722, 108, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.