GCD of 500, 422, 390, 522 Calculator

Given Input numbers are 500, 422, 390, 522

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 422, 390, 522) = 2.

Given numbers are 500, 422, 390, 522

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 422 are 2 x 211

Prime factors of 390 are 2 x 3 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 500, 422, 390, 522 is 2.

Given numbers are 500, 422, 390, 522

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

Apply this formula for all numbers.

Step1:

LCM(500, 422) = 105500

GCD(500, 422) = ( 500 x 422 ) / 105500

= 500 / 422

= 500

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 500, 422, 390, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 327, 933, 607
• GCD of 415, 341, 631, 185
• GCD of 994, 995, 623, 501
• GCD of 387, 307, 604, 865
• GCD of 352, 622, 740, 314

Given numbers are 500, 422, 390, 522
The greatest common divisor of numbers 500, 422, 390, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 422, 390, 522 is 2.

1. What is the GCD of 500, 422, 390, 522?

GCD of given numbers 500, 422, 390, 522 is 2

2. How to calculate the greatest common divisor of 500, 422, 390, 522?

We can find the highest common divisor of 500, 422, 390, 522 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 500, 422, 390, 522 i.e 2.

3. How can I use the GCD of 500, 422, 390, 522Calculator?

Out the numbers 500, 422, 390, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.