GCD of 715, 396, 22, 738 Calculator

Given Input numbers are 715, 396, 22, 738

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 22

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

1, 2, 11, 22

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 715, 396, 22, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 396, 22, 738 is 1.

Therefore, GCD of numbers 715, 396, 22, 738 is 1

Given Input Data is 715, 396, 22, 738

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 22 is 2 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(715, 396) = 25740

GCD(715, 396) = ( 715 x 396 ) / 25740

GCD(715, 396) = 283140 / 25740

GCD(715, 396) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 22

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

LCM(11, 22) = 22

GCD(11, 22) = ( 11 x 22 ) / 22

GCD(11, 22) = 242 / 22

GCD(11, 22) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 738

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

LCM(11, 738) = 8118

GCD(11, 738) = ( 11 x 738 ) / 8118

GCD(11, 738) = 8118 / 8118

GCD(11, 738) = 1

GCD of 715, 396, 22, 738 is 1

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1. What is the GCD of 715, 396, 22, 738?

GCD of 715, 396, 22, 738 is 1

2. Where do I get the detailed procedure to find GCD of 715, 396, 22, 738?

You can find a detailed procedure to find GCD of 715, 396, 22, 738 on our page.

3. How to find GCD of 715, 396, 22, 738 on a calculator?

You can find the GCD of 715, 396, 22, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.