GCD of 216, 404, 317, 270 Calculator

Given Input numbers are 216, 404, 317, 270

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

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 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (216, 404, 317, 270) = 1.

Given numbers are 216, 404, 317, 270

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 404 are 2 x 2 x 101

Prime factors of 317 are 317

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 216, 404, 317, 270

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

Apply this formula for all numbers.

Step1:

LCM(216, 404) = 21816

GCD(216, 404) = ( 216 x 404 ) / 21816

= 216 / 404

= 216

Step2:

LCM(4, 317) = 1268

GCD(4, 317) = ( 4 x 317 ) / 1268

= 4 / 317

= 4

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 216, 404, 317, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 257, 420, 361
• GCD of 742, 564, 364, 883
• GCD of 291, 576, 933, 545
• GCD of 859, 498, 929, 196
• GCD of 878, 100, 973, 217

Given numbers are 216, 404, 317, 270
The greatest common divisor of numbers 216, 404, 317, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 404, 317, 270 is 1.

1. What is the GCD of 216, 404, 317, 270?

GCD of given numbers 216, 404, 317, 270 is 1

2. How to calculate the greatest common divisor of 216, 404, 317, 270?

We can find the highest common divisor of 216, 404, 317, 270 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 216, 404, 317, 270 i.e 1.

3. How can I use the GCD of 216, 404, 317, 270Calculator?

Out the numbers 216, 404, 317, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.