GCD of 308, 540, 33, 216 Calculator

Given Input numbers are 308, 540, 33, 216

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 33 :

The positive integer divisors of 33 that completely divides 33 are.

1, 3, 11, 33

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

GCD of numbers is the greatest common divisor

So, the GCD (308, 540, 33, 216) = 1.

Given numbers are 308, 540, 33, 216

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 33 are 3 x 11

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

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

Given numbers are 308, 540, 33, 216

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

Apply this formula for all numbers.

Step1:

LCM(308, 540) = 41580

GCD(308, 540) = ( 308 x 540 ) / 41580

= 308 / 540

= 308

Step2:

LCM(4, 33) = 132

GCD(4, 33) = ( 4 x 33 ) / 132

= 4 / 33

= 4

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 308, 540, 33, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 217, 80, 796
• GCD of 324, 619, 93, 946
• GCD of 117, 327, 64, 390
• GCD of 459, 915, 68, 174
• GCD of 290, 412, 44, 623

Given numbers are 308, 540, 33, 216
The greatest common divisor of numbers 308, 540, 33, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 540, 33, 216 is 1.

1. What is the GCD of 308, 540, 33, 216?

GCD of given numbers 308, 540, 33, 216 is 1

2. How to calculate the greatest common divisor of 308, 540, 33, 216?

We can find the highest common divisor of 308, 540, 33, 216 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 308, 540, 33, 216 i.e 1.

3. How can I use the GCD of 308, 540, 33, 216Calculator?

Out the numbers 308, 540, 33, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.