GCD of 204, 344, 636, 374 Calculator

Given Input numbers are 204, 344, 636, 374

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (204, 344, 636, 374) = 2.

Given numbers are 204, 344, 636, 374

The list of prime factors of all numbers are

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

Prime factors of 344 are 2 x 2 x 2 x 43

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

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 204, 344, 636, 374 is 2.

Given numbers are 204, 344, 636, 374

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

Apply this formula for all numbers.

Step1:

LCM(204, 344) = 17544

GCD(204, 344) = ( 204 x 344 ) / 17544

= 204 / 344

= 204

Step2:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4

Step3:

LCM(4, 374) = 748

GCD(4, 374) = ( 4 x 374 ) / 748

= 4 / 374

= 4

So, Greatest Common Divisor of 204, 344, 636, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 286, 195, 266
• GCD of 612, 701, 643, 888
• GCD of 151, 145, 962, 829
• GCD of 922, 620, 207, 148
• GCD of 197, 214, 346, 286

Given numbers are 204, 344, 636, 374
The greatest common divisor of numbers 204, 344, 636, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 344, 636, 374 is 2.

1. What is the GCD of 204, 344, 636, 374?

GCD of given numbers 204, 344, 636, 374 is 2

2. How to calculate the greatest common divisor of 204, 344, 636, 374?

We can find the highest common divisor of 204, 344, 636, 374 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, 344, 636, 374 i.e 2.

3. How can I use the GCD of 204, 344, 636, 374Calculator?

Out the numbers 204, 344, 636, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.