GCD of 362, 972, 12, 522 Calculator

Given Input numbers are 362, 972, 12, 522

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

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 (362, 972, 12, 522) = 2.

Given numbers are 362, 972, 12, 522

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 12 are 2 x 2 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 362, 972, 12, 522 is 2.

Given numbers are 362, 972, 12, 522

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

Apply this formula for all numbers.

Step1:

LCM(362, 972) = 175932

GCD(362, 972) = ( 362 x 972 ) / 175932

= 362 / 972

= 362

Step2:

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

= 2 / 12

= 2

Step3:

LCM(2, 522) = 522

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

= 2 / 522

= 2

So, Greatest Common Divisor of 362, 972, 12, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 276, 37, 409
• GCD of 886, 425, 39, 859
• GCD of 653, 547, 33, 467
• GCD of 363, 218, 28, 298
• GCD of 808, 741, 11, 662

Given numbers are 362, 972, 12, 522
The greatest common divisor of numbers 362, 972, 12, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 972, 12, 522 is 2.

1. What is the GCD of 362, 972, 12, 522?

GCD of given numbers 362, 972, 12, 522 is 2

2. How to calculate the greatest common divisor of 362, 972, 12, 522?

We can find the highest common divisor of 362, 972, 12, 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 362, 972, 12, 522 i.e 2.

3. How can I use the GCD of 362, 972, 12, 522Calculator?

Out the numbers 362, 972, 12, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.