GCD of 756, 108, 22, 845 Calculator

Given Input numbers are 756, 108, 22, 845

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 756, 108, 22, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 108, 22, 845 is 1.

Therefore, GCD of numbers 756, 108, 22, 845 is 1

Given Input Data is 756, 108, 22, 845

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 845 is 5 x 13 x 13

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(756, 108) = 756

GCD(756, 108) = ( 756 x 108 ) / 756

GCD(756, 108) = 81648 / 756

GCD(756, 108) = 108

Step2:

Here we consider the GCD from the above i.e. 108 as first number and the next as 22

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

LCM(108, 22) = 1188

GCD(108, 22) = ( 108 x 22 ) / 1188

GCD(108, 22) = 2376 / 1188

GCD(108, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

GCD of 756, 108, 22, 845 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 865, 86, 802
• GCD of 460, 918, 92, 559
• GCD of 428, 299, 83, 173
• GCD of 223, 946, 83, 351
• GCD of 573, 681, 14, 746

1. What is the GCD of 756, 108, 22, 845?

GCD of 756, 108, 22, 845 is 1

2. Where do I get the detailed procedure to find GCD of 756, 108, 22, 845?

You can find a detailed procedure to find GCD of 756, 108, 22, 845 on our page.

3. How to find GCD of 756, 108, 22, 845 on a calculator?

You can find the GCD of 756, 108, 22, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.