GCD of 396, 564, 46, 549 Calculator

Given Input numbers are 396, 564, 46, 549

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 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 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 396, 564, 46, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 564, 46, 549 is 1.

Therefore, GCD of numbers 396, 564, 46, 549 is 1

Given Input Data is 396, 564, 46, 549

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 46 is 2 x 23

Prime Factorization of 549 is 3 x 3 x 61

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, 564) = 18612

GCD(396, 564) = ( 396 x 564 ) / 18612

GCD(396, 564) = 223344 / 18612

GCD(396, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 46

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

LCM(12, 46) = 276

GCD(12, 46) = ( 12 x 46 ) / 276

GCD(12, 46) = 552 / 276

GCD(12, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 549

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

LCM(2, 549) = 1098

GCD(2, 549) = ( 2 x 549 ) / 1098

GCD(2, 549) = 1098 / 1098

GCD(2, 549) = 1

GCD of 396, 564, 46, 549 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 181, 44, 532
• GCD of 410, 922, 46, 610
• GCD of 292, 771, 43, 725
• GCD of 290, 708, 27, 885
• GCD of 294, 668, 77, 137

1. What is the GCD of 396, 564, 46, 549?

GCD of 396, 564, 46, 549 is 1

2. Where do I get the detailed procedure to find GCD of 396, 564, 46, 549?

You can find a detailed procedure to find GCD of 396, 564, 46, 549 on our page.

3. How to find GCD of 396, 564, 46, 549 on a calculator?

You can find the GCD of 396, 564, 46, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.