GCD of 135, 339, 204, 636 Calculator

Given Input numbers are 135, 339, 204, 636

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 (135, 339, 204, 636) = 3.

Given numbers are 135, 339, 204, 636

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 339 are 3 x 113

Prime factors of 204 are 2 x 2 x 3 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 135, 339, 204, 636 is 3.

Given numbers are 135, 339, 204, 636

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

Apply this formula for all numbers.

Step1:

LCM(135, 339) = 15255

GCD(135, 339) = ( 135 x 339 ) / 15255

= 135 / 339

= 135

Step2:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

Step3:

LCM(3, 636) = 636

GCD(3, 636) = ( 3 x 636 ) / 636

= 3 / 636

= 3

So, Greatest Common Divisor of 135, 339, 204, 636 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 986, 959, 363
• GCD of 614, 362, 482, 704
• GCD of 504, 142, 261, 537
• GCD of 433, 895, 367, 741
• GCD of 878, 352, 400, 831

Given numbers are 135, 339, 204, 636
The greatest common divisor of numbers 135, 339, 204, 636 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 339, 204, 636 is 3.

1. What is the GCD of 135, 339, 204, 636?

GCD of given numbers 135, 339, 204, 636 is 3

2. How to calculate the greatest common divisor of 135, 339, 204, 636?

We can find the highest common divisor of 135, 339, 204, 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 135, 339, 204, 636 i.e 3.

3. How can I use the GCD of 135, 339, 204, 636Calculator?

Out the numbers 135, 339, 204, 636 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.