GCD of 162, 422, 558, 312 Calculator

Given Input numbers are 162, 422, 558, 312

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 422 :

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

1, 2, 211, 422

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (162, 422, 558, 312) = 2.

Given numbers are 162, 422, 558, 312

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 422 are 2 x 211

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 162, 422, 558, 312 is 2.

Given numbers are 162, 422, 558, 312

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

Apply this formula for all numbers.

Step1:

LCM(162, 422) = 34182

GCD(162, 422) = ( 162 x 422 ) / 34182

= 162 / 422

= 162

Step2:

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

= 2 / 558

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 162, 422, 558, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 652, 293, 747
• GCD of 312, 546, 904, 176
• GCD of 334, 131, 165, 726
• GCD of 746, 677, 299, 689
• GCD of 434, 392, 139, 340

Given numbers are 162, 422, 558, 312
The greatest common divisor of numbers 162, 422, 558, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 422, 558, 312 is 2.

1. What is the GCD of 162, 422, 558, 312?

GCD of given numbers 162, 422, 558, 312 is 2

2. How to calculate the greatest common divisor of 162, 422, 558, 312?

We can find the highest common divisor of 162, 422, 558, 312 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 162, 422, 558, 312 i.e 2.

3. How can I use the GCD of 162, 422, 558, 312Calculator?

Out the numbers 162, 422, 558, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.