GCD of 822, 492, 483, 216 Calculator

Given Input numbers are 822, 492, 483, 216

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

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 (822, 492, 483, 216) = 3.

Given numbers are 822, 492, 483, 216

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 483 are 3 x 7 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 822, 492, 483, 216 is 3.

Given numbers are 822, 492, 483, 216

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

Apply this formula for all numbers.

Step1:

LCM(822, 492) = 67404

GCD(822, 492) = ( 822 x 492 ) / 67404

= 822 / 492

= 822

Step2:

LCM(6, 483) = 966

GCD(6, 483) = ( 6 x 483 ) / 966

= 6 / 483

= 6

Step3:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

So, Greatest Common Divisor of 822, 492, 483, 216 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 304, 163, 398
• GCD of 595, 741, 104, 747
• GCD of 914, 248, 290, 565
• GCD of 598, 188, 546, 149
• GCD of 816, 548, 295, 918

Given numbers are 822, 492, 483, 216
The greatest common divisor of numbers 822, 492, 483, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 492, 483, 216 is 3.

1. What is the GCD of 822, 492, 483, 216?

GCD of given numbers 822, 492, 483, 216 is 3

2. How to calculate the greatest common divisor of 822, 492, 483, 216?

We can find the highest common divisor of 822, 492, 483, 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 822, 492, 483, 216 i.e 3.

3. How can I use the GCD of 822, 492, 483, 216Calculator?

Out the numbers 822, 492, 483, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.