GCD of 204, 552, 464, 442 Calculator

Given Input numbers are 204, 552, 464, 442

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 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (204, 552, 464, 442) = 2.

Given numbers are 204, 552, 464, 442

The list of prime factors of all numbers are

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

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 204, 552, 464, 442 is 2.

Given numbers are 204, 552, 464, 442

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

Apply this formula for all numbers.

Step1:

LCM(204, 552) = 9384

GCD(204, 552) = ( 204 x 552 ) / 9384

= 204 / 552

= 204

Step2:

LCM(12, 464) = 1392

GCD(12, 464) = ( 12 x 464 ) / 1392

= 12 / 464

= 12

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 204, 552, 464, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 719, 130, 220
• GCD of 914, 152, 175, 770
• GCD of 610, 756, 436, 858
• GCD of 258, 877, 251, 172
• GCD of 607, 205, 442, 506

Given numbers are 204, 552, 464, 442
The greatest common divisor of numbers 204, 552, 464, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 552, 464, 442 is 2.

1. What is the GCD of 204, 552, 464, 442?

GCD of given numbers 204, 552, 464, 442 is 2

2. How to calculate the greatest common divisor of 204, 552, 464, 442?

We can find the highest common divisor of 204, 552, 464, 442 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, 552, 464, 442 i.e 2.

3. How can I use the GCD of 204, 552, 464, 442Calculator?

Out the numbers 204, 552, 464, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.