GCD of 405, 324, 408, 687 Calculator

Given Input numbers are 405, 324, 408, 687

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (405, 324, 408, 687) = 3.

Given numbers are 405, 324, 408, 687

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 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 405, 324, 408, 687 is 3.

Given numbers are 405, 324, 408, 687

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

Apply this formula for all numbers.

Step1:

LCM(405, 324) = 1620

GCD(405, 324) = ( 405 x 324 ) / 1620

= 405 / 324

= 405

Step2:

LCM(81, 408) = 11016

GCD(81, 408) = ( 81 x 408 ) / 11016

= 81 / 408

= 81

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 405, 324, 408, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 757, 654, 968
• GCD of 776, 696, 180, 401
• GCD of 446, 752, 691, 463
• GCD of 561, 302, 817, 392
• GCD of 201, 165, 657, 433

Given numbers are 405, 324, 408, 687
The greatest common divisor of numbers 405, 324, 408, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 324, 408, 687 is 3.

1. What is the GCD of 405, 324, 408, 687?

GCD of given numbers 405, 324, 408, 687 is 3

2. How to calculate the greatest common divisor of 405, 324, 408, 687?

We can find the highest common divisor of 405, 324, 408, 687 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, 324, 408, 687 i.e 3.

3. How can I use the GCD of 405, 324, 408, 687Calculator?

Out the numbers 405, 324, 408, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.