GCD of 522, 214, 780, 636 Calculator

Given Input numbers are 522, 214, 780, 636

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

GCD of numbers is the greatest common divisor

So, the GCD (522, 214, 780, 636) = 2.

Given numbers are 522, 214, 780, 636

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 636 are 2 x 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 522, 214, 780, 636 is 2.

Given numbers are 522, 214, 780, 636

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

Apply this formula for all numbers.

Step1:

LCM(522, 214) = 55854

GCD(522, 214) = ( 522 x 214 ) / 55854

= 522 / 214

= 522

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

= 2 / 636

= 2

So, Greatest Common Divisor of 522, 214, 780, 636 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 730, 233, 999
• GCD of 774, 790, 663, 144
• GCD of 889, 831, 768, 642
• GCD of 421, 213, 433, 426
• GCD of 178, 553, 645, 813

Given numbers are 522, 214, 780, 636
The greatest common divisor of numbers 522, 214, 780, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 214, 780, 636 is 2.

1. What is the GCD of 522, 214, 780, 636?

GCD of given numbers 522, 214, 780, 636 is 2

2. How to calculate the greatest common divisor of 522, 214, 780, 636?

We can find the highest common divisor of 522, 214, 780, 636 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, 214, 780, 636 i.e 2.

3. How can I use the GCD of 522, 214, 780, 636Calculator?

Out the numbers 522, 214, 780, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.