GCD of 405, 453, 264 Calculator

Given Input numbers are 405, 453, 264

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

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (405, 453, 264) = 3.

Given numbers are 405, 453, 264

The list of prime factors of all numbers are

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 453 are 3 x 151

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 405, 453, 264 is 3.

Given numbers are 405, 453, 264

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

Apply this formula for all numbers.

Step1:

LCM(405, 453) = 61155

GCD(405, 453) = ( 405 x 453 ) / 61155

= 405 / 453

= 405

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

So, Greatest Common Divisor of 405, 453, 264 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 128, 333
• GCD of 325, 811, 334
• GCD of 807, 854, 244
• GCD of 395, 956, 612
• GCD of 705, 508, 357

Given numbers are 405, 453, 264
The greatest common divisor of numbers 405, 453, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 453, 264 is 3.

1. What is the GCD of 405, 453, 264?

GCD of given numbers 405, 453, 264 is 3

2. How to calculate the greatest common divisor of 405, 453, 264?

We can find the highest common divisor of 405, 453, 264 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 405, 453, 264 i.e 3.

3. How can I use the GCD of 405, 453, 264Calculator?

Out the numbers 405, 453, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.