GCD of 636, 742, 456, 396 Calculator

Given Input numbers are 636, 742, 456, 396

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

GCD of numbers is the greatest common divisor

So, the GCD (636, 742, 456, 396) = 2.

Given numbers are 636, 742, 456, 396

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 742 are 2 x 7 x 53

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 636, 742, 456, 396 is 2.

Given numbers are 636, 742, 456, 396

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

Apply this formula for all numbers.

Step1:

LCM(636, 742) = 4452

GCD(636, 742) = ( 636 x 742 ) / 4452

= 636 / 742

= 636

Step2:

LCM(106, 456) = 24168

GCD(106, 456) = ( 106 x 456 ) / 24168

= 106 / 456

= 106

Step3:

LCM(2, 396) = 396

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

= 2 / 396

= 2

So, Greatest Common Divisor of 636, 742, 456, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 268, 838, 401
• GCD of 499, 393, 624, 253
• GCD of 514, 722, 632, 753
• GCD of 731, 506, 905, 333
• GCD of 792, 154, 188, 637

Given numbers are 636, 742, 456, 396
The greatest common divisor of numbers 636, 742, 456, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 742, 456, 396 is 2.

1. What is the GCD of 636, 742, 456, 396?

GCD of given numbers 636, 742, 456, 396 is 2

2. How to calculate the greatest common divisor of 636, 742, 456, 396?

We can find the highest common divisor of 636, 742, 456, 396 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 636, 742, 456, 396 i.e 2.

3. How can I use the GCD of 636, 742, 456, 396Calculator?

Out the numbers 636, 742, 456, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.