GCD of 228, 474, 729, 355 Calculator

Given Input numbers are 228, 474, 729, 355

In the factoring method, we have to find the divisors of all numbers

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 474 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (228, 474, 729, 355) = 1.

Given numbers are 228, 474, 729, 355

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 474 are 2 x 3 x 79

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 355 are 5 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 228, 474, 729, 355

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

Apply this formula for all numbers.

Step1:

LCM(228, 474) = 18012

GCD(228, 474) = ( 228 x 474 ) / 18012

= 228 / 474

= 228

Step2:

LCM(6, 729) = 1458

GCD(6, 729) = ( 6 x 729 ) / 1458

= 6 / 729

= 6

Step3:

LCM(3, 355) = 1065

GCD(3, 355) = ( 3 x 355 ) / 1065

= 3 / 355

= 3

So, Greatest Common Divisor of 228, 474, 729, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 337, 476, 168
• GCD of 184, 184, 600, 131
• GCD of 682, 590, 994, 942
• GCD of 880, 663, 333, 178
• GCD of 532, 656, 261, 941

Given numbers are 228, 474, 729, 355
The greatest common divisor of numbers 228, 474, 729, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 474, 729, 355 is 1.

1. What is the GCD of 228, 474, 729, 355?

GCD of given numbers 228, 474, 729, 355 is 1

2. How to calculate the greatest common divisor of 228, 474, 729, 355?

We can find the highest common divisor of 228, 474, 729, 355 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 228, 474, 729, 355 i.e 1.

3. How can I use the GCD of 228, 474, 729, 355Calculator?

Out the numbers 228, 474, 729, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.