GCD of 405, 612, 687, 480 Calculator

Given Input numbers are 405, 612, 687, 480

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (405, 612, 687, 480) = 3.

Given numbers are 405, 612, 687, 480

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 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 687 are 3 x 229

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 405, 612, 687, 480 is 3.

Given numbers are 405, 612, 687, 480

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

Apply this formula for all numbers.

Step1:

LCM(405, 612) = 27540

GCD(405, 612) = ( 405 x 612 ) / 27540

= 405 / 612

= 405

Step2:

LCM(9, 687) = 2061

GCD(9, 687) = ( 9 x 687 ) / 2061

= 9 / 687

= 9

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 405, 612, 687, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 850, 528, 691
• GCD of 442, 991, 485, 712
• GCD of 264, 183, 355, 666
• GCD of 454, 441, 195, 904
• GCD of 162, 155, 742, 864

Given numbers are 405, 612, 687, 480
The greatest common divisor of numbers 405, 612, 687, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 612, 687, 480 is 3.

1. What is the GCD of 405, 612, 687, 480?

GCD of given numbers 405, 612, 687, 480 is 3

2. How to calculate the greatest common divisor of 405, 612, 687, 480?

We can find the highest common divisor of 405, 612, 687, 480 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, 612, 687, 480 i.e 3.

3. How can I use the GCD of 405, 612, 687, 480Calculator?

Out the numbers 405, 612, 687, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.