GCD of 324, 180, 638, 122 Calculator

Given Input numbers are 324, 180, 638, 122

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (324, 180, 638, 122) = 2.

Given numbers are 324, 180, 638, 122

The list of prime factors of all numbers are

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 638 are 2 x 11 x 29

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 324, 180, 638, 122 is 2.

Given numbers are 324, 180, 638, 122

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

Apply this formula for all numbers.

Step1:

LCM(324, 180) = 1620

GCD(324, 180) = ( 324 x 180 ) / 1620

= 324 / 180

= 324

Step2:

LCM(36, 638) = 11484

GCD(36, 638) = ( 36 x 638 ) / 11484

= 36 / 638

= 36

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 324, 180, 638, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 161, 743, 117, 928
• GCD of 898, 586, 325, 911
• GCD of 221, 402, 827, 921
• GCD of 750, 569, 516, 196
• GCD of 818, 697, 226, 720

Given numbers are 324, 180, 638, 122
The greatest common divisor of numbers 324, 180, 638, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 324, 180, 638, 122 is 2.

1. What is the GCD of 324, 180, 638, 122?

GCD of given numbers 324, 180, 638, 122 is 2

2. How to calculate the greatest common divisor of 324, 180, 638, 122?

We can find the highest common divisor of 324, 180, 638, 122 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 324, 180, 638, 122 i.e 2.

3. How can I use the GCD of 324, 180, 638, 122Calculator?

Out the numbers 324, 180, 638, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.