GCD of 500, 704, 28, 216 Calculator

Given Input numbers are 500, 704, 28, 216

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

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

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 (500, 704, 28, 216) = 4.

Given numbers are 500, 704, 28, 216

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 28 are 2 x 2 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 500, 704, 28, 216 is 4.

Given numbers are 500, 704, 28, 216

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

Apply this formula for all numbers.

Step1:

LCM(500, 704) = 88000

GCD(500, 704) = ( 500 x 704 ) / 88000

= 500 / 704

= 500

Step2:

LCM(4, 28) = 28

GCD(4, 28) = ( 4 x 28 ) / 28

= 4 / 28

= 4

Step3:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

So, Greatest Common Divisor of 500, 704, 28, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 479, 21, 686
• GCD of 596, 546, 64, 261
• GCD of 766, 203, 88, 290
• GCD of 564, 515, 84, 328
• GCD of 637, 593, 39, 205

Given numbers are 500, 704, 28, 216
The greatest common divisor of numbers 500, 704, 28, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 704, 28, 216 is 4.

1. What is the GCD of 500, 704, 28, 216?

GCD of given numbers 500, 704, 28, 216 is 4

2. How to calculate the greatest common divisor of 500, 704, 28, 216?

We can find the highest common divisor of 500, 704, 28, 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 500, 704, 28, 216 i.e 4.

3. How can I use the GCD of 500, 704, 28, 216Calculator?

Out the numbers 500, 704, 28, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.