GCD of 396, 722, 322, 561 Calculator

Given Input numbers are 396, 722, 322, 561

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

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 722

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

1, 2, 19, 38, 361, 722

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 396, 722, 322, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 722, 322, 561 is 1.

Therefore, GCD of numbers 396, 722, 322, 561 is 1

Given Input Data is 396, 722, 322, 561

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

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 561 is 3 x 11 x 17

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(396, 722) = 142956

GCD(396, 722) = ( 396 x 722 ) / 142956

GCD(396, 722) = 285912 / 142956

GCD(396, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 322

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

LCM(2, 322) = 322

GCD(2, 322) = ( 2 x 322 ) / 322

GCD(2, 322) = 644 / 322

GCD(2, 322) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 561

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

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

GCD(2, 561) = 1122 / 1122

GCD(2, 561) = 1

GCD of 396, 722, 322, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 720, 107, 603
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• GCD of 619, 683, 865, 742
• GCD of 196, 474, 242, 672
• GCD of 263, 881, 394, 847

1. What is the GCD of 396, 722, 322, 561?

GCD of 396, 722, 322, 561 is 1

2. Where do I get the detailed procedure to find GCD of 396, 722, 322, 561?

You can find a detailed procedure to find GCD of 396, 722, 322, 561 on our page.

3. How to find GCD of 396, 722, 322, 561 on a calculator?

You can find the GCD of 396, 722, 322, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.