GCD of 204, 504, 216, 744 Calculator

Given Input numbers are 204, 504, 216, 744

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (204, 504, 216, 744) = 12.

Given numbers are 204, 504, 216, 744

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2² x 3¹

Therefore, GCD of 204, 504, 216, 744 is 12.

Given numbers are 204, 504, 216, 744

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

Apply this formula for all numbers.

Step1:

LCM(204, 504) = 8568

GCD(204, 504) = ( 204 x 504 ) / 8568

= 204 / 504

= 204

Step2:

LCM(12, 216) = 216

GCD(12, 216) = ( 12 x 216 ) / 216

= 12 / 216

= 12

Step3:

LCM(12, 744) = 744

GCD(12, 744) = ( 12 x 744 ) / 744

= 12 / 744

= 12

So, Greatest Common Divisor of 204, 504, 216, 744 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 436, 268, 921
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• GCD of 562, 283, 994, 673
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• GCD of 199, 702, 927, 751

Given numbers are 204, 504, 216, 744
The greatest common divisor of numbers 204, 504, 216, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 504, 216, 744 is 12.

1. What is the GCD of 204, 504, 216, 744?

GCD of given numbers 204, 504, 216, 744 is 12

2. How to calculate the greatest common divisor of 204, 504, 216, 744?

We can find the highest common divisor of 204, 504, 216, 744 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, 504, 216, 744 i.e 12.

3. How can I use the GCD of 204, 504, 216, 744Calculator?

Out the numbers 204, 504, 216, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.