GCD of 522, 822, 582, 438 Calculator

Given Input numbers are 522, 822, 582, 438

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 822 :

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

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (522, 822, 582, 438) = 6.

Given numbers are 522, 822, 582, 438

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 822 are 2 x 3 x 137

Prime factors of 582 are 2 x 3 x 97

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 522, 822, 582, 438 is 6.

Given numbers are 522, 822, 582, 438

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

Apply this formula for all numbers.

Step1:

LCM(522, 822) = 71514

GCD(522, 822) = ( 522 x 822 ) / 71514

= 522 / 822

= 522

Step2:

LCM(6, 582) = 582

GCD(6, 582) = ( 6 x 582 ) / 582

= 6 / 582

= 6

Step3:

LCM(6, 438) = 438

GCD(6, 438) = ( 6 x 438 ) / 438

= 6 / 438

= 6

So, Greatest Common Divisor of 522, 822, 582, 438 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 855, 234, 989
• GCD of 935, 595, 840, 869
• GCD of 308, 530, 499, 293
• GCD of 848, 117, 368, 978
• GCD of 784, 436, 518, 225

Given numbers are 522, 822, 582, 438
The greatest common divisor of numbers 522, 822, 582, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 822, 582, 438 is 6.

1. What is the GCD of 522, 822, 582, 438?

GCD of given numbers 522, 822, 582, 438 is 6

2. How to calculate the greatest common divisor of 522, 822, 582, 438?

We can find the highest common divisor of 522, 822, 582, 438 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 522, 822, 582, 438 i.e 6.

3. How can I use the GCD of 522, 822, 582, 438Calculator?

Out the numbers 522, 822, 582, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.