GCD of 396, 522, 252 Calculator

Given Input numbers are 396, 522, 252

In the factoring method, we have to find the divisors of all numbers

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (396, 522, 252) = 18.

Given numbers are 396, 522, 252

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹ x 3²

Therefore, GCD of 396, 522, 252 is 18.

Given numbers are 396, 522, 252

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(396, 522) = 11484

GCD(396, 522) = ( 396 x 522 ) / 11484

= 396 / 522

= 396

Step2:

LCM(18, 252) = 252

GCD(18, 252) = ( 18 x 252 ) / 252

= 18 / 252

= 18

So, Greatest Common Divisor of 396, 522, 252 is 18

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 306, 954
• GCD of 593, 106, 997
• GCD of 893, 198, 905
• GCD of 809, 861, 605
• GCD of 804, 460, 647

Given numbers are 396, 522, 252
The greatest common divisor of numbers 396, 522, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 522, 252 is 18.

1. What is the GCD of 396, 522, 252?

GCD of given numbers 396, 522, 252 is 18

2. How to calculate the greatest common divisor of 396, 522, 252?

We can find the highest common divisor of 396, 522, 252 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 396, 522, 252 i.e 18.

3. How can I use the GCD of 396, 522, 252Calculator?

Out the numbers 396, 522, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.