GCD of 324, 381, 423, 822 Calculator

Given Input numbers are 324, 381, 423, 822

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

Divisors of 822 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (324, 381, 423, 822) = 3.

Given numbers are 324, 381, 423, 822

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 381 are 3 x 127

Prime factors of 423 are 3 x 3 x 47

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 324, 381, 423, 822 is 3.

Given numbers are 324, 381, 423, 822

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

Apply this formula for all numbers.

Step1:

LCM(324, 381) = 41148

GCD(324, 381) = ( 324 x 381 ) / 41148

= 324 / 381

= 324

Step2:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

Step3:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

So, Greatest Common Divisor of 324, 381, 423, 822 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 739, 210, 142
• GCD of 907, 423, 252, 477
• GCD of 718, 736, 250, 521
• GCD of 686, 480, 878, 797
• GCD of 123, 357, 510, 284

Given numbers are 324, 381, 423, 822
The greatest common divisor of numbers 324, 381, 423, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 381, 423, 822 is 3.

1. What is the GCD of 324, 381, 423, 822?

GCD of given numbers 324, 381, 423, 822 is 3

2. How to calculate the greatest common divisor of 324, 381, 423, 822?

We can find the highest common divisor of 324, 381, 423, 822 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 324, 381, 423, 822 i.e 3.

3. How can I use the GCD of 324, 381, 423, 822Calculator?

Out the numbers 324, 381, 423, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.