GCD of 396, 111, 459, 462 Calculator

Given Input numbers are 396, 111, 459, 462

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (396, 111, 459, 462) = 3.

Given numbers are 396, 111, 459, 462

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 111 are 3 x 37

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 396, 111, 459, 462 is 3.

Given numbers are 396, 111, 459, 462

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

Apply this formula for all numbers.

Step1:

LCM(396, 111) = 14652

GCD(396, 111) = ( 396 x 111 ) / 14652

= 396 / 111

= 396

Step2:

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

= 3 / 459

= 3

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 396, 111, 459, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 281, 778, 488
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• GCD of 835, 217, 258, 771
• GCD of 109, 504, 136, 218
• GCD of 595, 330, 818, 923

Given numbers are 396, 111, 459, 462
The greatest common divisor of numbers 396, 111, 459, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 111, 459, 462 is 3.

1. What is the GCD of 396, 111, 459, 462?

GCD of given numbers 396, 111, 459, 462 is 3

2. How to calculate the greatest common divisor of 396, 111, 459, 462?

We can find the highest common divisor of 396, 111, 459, 462 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, 111, 459, 462 i.e 3.

3. How can I use the GCD of 396, 111, 459, 462Calculator?

Out the numbers 396, 111, 459, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.