GCD of 828, 472, 506, 216 Calculator

Given Input numbers are 828, 472, 506, 216

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

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 (828, 472, 506, 216) = 2.

Given numbers are 828, 472, 506, 216

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 506 are 2 x 11 x 23

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 828, 472, 506, 216 is 2.

Given numbers are 828, 472, 506, 216

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

Apply this formula for all numbers.

Step1:

LCM(828, 472) = 97704

GCD(828, 472) = ( 828 x 472 ) / 97704

= 828 / 472

= 828

Step2:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 828, 472, 506, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 655, 358, 142
• GCD of 353, 869, 382, 194
• GCD of 825, 160, 558, 806
• GCD of 235, 845, 275, 660
• GCD of 736, 927, 200, 758

Given numbers are 828, 472, 506, 216
The greatest common divisor of numbers 828, 472, 506, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 472, 506, 216 is 2.

1. What is the GCD of 828, 472, 506, 216?

GCD of given numbers 828, 472, 506, 216 is 2

2. How to calculate the greatest common divisor of 828, 472, 506, 216?

We can find the highest common divisor of 828, 472, 506, 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 828, 472, 506, 216 i.e 2.

3. How can I use the GCD of 828, 472, 506, 216Calculator?

Out the numbers 828, 472, 506, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.