GCD of 204, 272, 474, 252 Calculator

Given Input numbers are 204, 272, 474, 252

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (204, 272, 474, 252) = 2.

Given numbers are 204, 272, 474, 252

The list of prime factors of all numbers are

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 474 are 2 x 3 x 79

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 204, 272, 474, 252 is 2.

Given numbers are 204, 272, 474, 252

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

Apply this formula for all numbers.

Step1:

LCM(204, 272) = 816

GCD(204, 272) = ( 204 x 272 ) / 816

= 204 / 272

= 204

Step2:

LCM(68, 474) = 16116

GCD(68, 474) = ( 68 x 474 ) / 16116

= 68 / 474

= 68

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 204, 272, 474, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 387, 900, 179
• GCD of 339, 488, 710, 823
• GCD of 592, 632, 726, 267
• GCD of 763, 423, 895, 470
• GCD of 552, 992, 648, 244

Given numbers are 204, 272, 474, 252
The greatest common divisor of numbers 204, 272, 474, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 272, 474, 252 is 2.

1. What is the GCD of 204, 272, 474, 252?

GCD of given numbers 204, 272, 474, 252 is 2

2. How to calculate the greatest common divisor of 204, 272, 474, 252?

We can find the highest common divisor of 204, 272, 474, 252 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, 272, 474, 252 i.e 2.

3. How can I use the GCD of 204, 272, 474, 252Calculator?

Out the numbers 204, 272, 474, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.