GCD of 405, 216, 210, 351 Calculator

Given Input numbers are 405, 216, 210, 351

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (405, 216, 210, 351) = 3.

Given numbers are 405, 216, 210, 351

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 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 405, 216, 210, 351 is 3.

Given numbers are 405, 216, 210, 351

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

Apply this formula for all numbers.

Step1:

LCM(405, 216) = 3240

GCD(405, 216) = ( 405 x 216 ) / 3240

= 405 / 216

= 405

Step2:

LCM(27, 210) = 1890

GCD(27, 210) = ( 27 x 210 ) / 1890

= 27 / 210

= 27

Step3:

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

= 3 / 351

= 3

So, Greatest Common Divisor of 405, 216, 210, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 790, 950, 625
• GCD of 316, 470, 495, 113
• GCD of 654, 170, 892, 775
• GCD of 662, 259, 386, 424
• GCD of 582, 258, 106, 689

Given numbers are 405, 216, 210, 351
The greatest common divisor of numbers 405, 216, 210, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 216, 210, 351 is 3.

1. What is the GCD of 405, 216, 210, 351?

GCD of given numbers 405, 216, 210, 351 is 3

2. How to calculate the greatest common divisor of 405, 216, 210, 351?

We can find the highest common divisor of 405, 216, 210, 351 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, 216, 210, 351 i.e 3.

3. How can I use the GCD of 405, 216, 210, 351Calculator?

Out the numbers 405, 216, 210, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.