GCD of 204, 348, 636, 456 Calculator

Given Input numbers are 204, 348, 636, 456

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

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

GCD of numbers is the greatest common divisor

So, the GCD (204, 348, 636, 456) = 12.

Given numbers are 204, 348, 636, 456

The list of prime factors of all numbers are

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

Prime factors of 348 are 2 x 2 x 3 x 29

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2² x 3¹

Therefore, GCD of 204, 348, 636, 456 is 12.

Given numbers are 204, 348, 636, 456

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

Apply this formula for all numbers.

Step1:

LCM(204, 348) = 5916

GCD(204, 348) = ( 204 x 348 ) / 5916

= 204 / 348

= 204

Step2:

LCM(12, 636) = 636

GCD(12, 636) = ( 12 x 636 ) / 636

= 12 / 636

= 12

Step3:

LCM(12, 456) = 456

GCD(12, 456) = ( 12 x 456 ) / 456

= 12 / 456

= 12

So, Greatest Common Divisor of 204, 348, 636, 456 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 746, 128, 654
• GCD of 215, 366, 597, 754
• GCD of 473, 702, 123, 113
• GCD of 425, 581, 201, 118
• GCD of 689, 469, 995, 131

Given numbers are 204, 348, 636, 456
The greatest common divisor of numbers 204, 348, 636, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 348, 636, 456 is 12.

1. What is the GCD of 204, 348, 636, 456?

GCD of given numbers 204, 348, 636, 456 is 12

2. How to calculate the greatest common divisor of 204, 348, 636, 456?

We can find the highest common divisor of 204, 348, 636, 456 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 204, 348, 636, 456 i.e 12.

3. How can I use the GCD of 204, 348, 636, 456Calculator?

Out the numbers 204, 348, 636, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.