GCD of 264, 206, 500, 216 Calculator

Given Input numbers are 264, 206, 500, 216

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 (264, 206, 500, 216) = 2.

Given numbers are 264, 206, 500, 216

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 206 are 2 x 103

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 264, 206, 500, 216 is 2.

Given numbers are 264, 206, 500, 216

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

Apply this formula for all numbers.

Step1:

LCM(264, 206) = 27192

GCD(264, 206) = ( 264 x 206 ) / 27192

= 264 / 206

= 264

Step2:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 264, 206, 500, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 639, 661, 351
• GCD of 959, 461, 778, 288
• GCD of 347, 100, 695, 747
• GCD of 396, 774, 515, 223
• GCD of 250, 687, 350, 167

Given numbers are 264, 206, 500, 216
The greatest common divisor of numbers 264, 206, 500, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 206, 500, 216 is 2.

1. What is the GCD of 264, 206, 500, 216?

GCD of given numbers 264, 206, 500, 216 is 2

2. How to calculate the greatest common divisor of 264, 206, 500, 216?

We can find the highest common divisor of 264, 206, 500, 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 264, 206, 500, 216 i.e 2.

3. How can I use the GCD of 264, 206, 500, 216Calculator?

Out the numbers 264, 206, 500, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.