GCD of 564, 374, 396, 721 Calculator

Given Input numbers are 564, 374, 396, 721

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 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 564, 374, 396, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 374, 396, 721 is 1.

Therefore, GCD of numbers 564, 374, 396, 721 is 1

Given Input Data is 564, 374, 396, 721

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 374 is 2 x 11 x 17

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

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(564, 374) = 105468

GCD(564, 374) = ( 564 x 374 ) / 105468

GCD(564, 374) = 210936 / 105468

GCD(564, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 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 564, 374, 396, 721 is 1

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1. What is the GCD of 564, 374, 396, 721?

GCD of 564, 374, 396, 721 is 1

2. Where do I get the detailed procedure to find GCD of 564, 374, 396, 721?

You can find a detailed procedure to find GCD of 564, 374, 396, 721 on our page.

3. How to find GCD of 564, 374, 396, 721 on a calculator?

You can find the GCD of 564, 374, 396, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.