GCD of 204, 396, 428, 270 Calculator

Given Input numbers are 204, 396, 428, 270

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (204, 396, 428, 270) = 2.

Given numbers are 204, 396, 428, 270

The list of prime factors of all numbers are

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 428 are 2 x 2 x 107

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 204, 396, 428, 270 is 2.

Given numbers are 204, 396, 428, 270

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

Apply this formula for all numbers.

Step1:

LCM(204, 396) = 6732

GCD(204, 396) = ( 204 x 396 ) / 6732

= 204 / 396

= 204

Step2:

LCM(12, 428) = 1284

GCD(12, 428) = ( 12 x 428 ) / 1284

= 12 / 428

= 12

Step3:

LCM(4, 270) = 540

GCD(4, 270) = ( 4 x 270 ) / 540

= 4 / 270

= 4

So, Greatest Common Divisor of 204, 396, 428, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 310, 599, 354
• GCD of 807, 946, 207, 678
• GCD of 411, 238, 173, 536
• GCD of 341, 745, 916, 596
• GCD of 182, 606, 281, 415

Given numbers are 204, 396, 428, 270
The greatest common divisor of numbers 204, 396, 428, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 396, 428, 270 is 2.

1. What is the GCD of 204, 396, 428, 270?

GCD of given numbers 204, 396, 428, 270 is 2

2. How to calculate the greatest common divisor of 204, 396, 428, 270?

We can find the highest common divisor of 204, 396, 428, 270 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, 396, 428, 270 i.e 2.

3. How can I use the GCD of 204, 396, 428, 270Calculator?

Out the numbers 204, 396, 428, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.