GCD of 828, 809, 576, 216 Calculator

Given Input numbers are 828, 809, 576, 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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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, 809, 576, 216) = 1.

Given numbers are 828, 809, 576, 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 809 are 809

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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 828, 809, 576, 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, 809) = 669852

GCD(828, 809) = ( 828 x 809 ) / 669852

= 828 / 809

= 828

Step2:

LCM(1, 576) = 576

GCD(1, 576) = ( 1 x 576 ) / 576

= 1 / 576

= 1

Step3:

LCM(1, 216) = 216

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

= 1 / 216

= 1

So, Greatest Common Divisor of 828, 809, 576, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 810, 515, 554
• GCD of 242, 244, 926, 205
• GCD of 852, 486, 495, 861
• GCD of 372, 968, 106, 311
• GCD of 518, 653, 942, 271

Given numbers are 828, 809, 576, 216
The greatest common divisor of numbers 828, 809, 576, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 809, 576, 216 is 1.

1. What is the GCD of 828, 809, 576, 216?

GCD of given numbers 828, 809, 576, 216 is 1

2. How to calculate the greatest common divisor of 828, 809, 576, 216?

We can find the highest common divisor of 828, 809, 576, 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, 809, 576, 216 i.e 1.

3. How can I use the GCD of 828, 809, 576, 216Calculator?

Out the numbers 828, 809, 576, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.