GCD of 270, 288, 255, 477 Calculator

Given Input numbers are 270, 288, 255, 477

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

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (270, 288, 255, 477) = 3.

Given numbers are 270, 288, 255, 477

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 255 are 3 x 5 x 17

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 270, 288, 255, 477 is 3.

Given numbers are 270, 288, 255, 477

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

Apply this formula for all numbers.

Step1:

LCM(270, 288) = 4320

GCD(270, 288) = ( 270 x 288 ) / 4320

= 270 / 288

= 270

Step2:

LCM(18, 255) = 1530

GCD(18, 255) = ( 18 x 255 ) / 1530

= 18 / 255

= 18

Step3:

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

= 3 / 477

= 3

So, Greatest Common Divisor of 270, 288, 255, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 154, 777, 530, 213
• GCD of 640, 370, 406, 251
• GCD of 962, 836, 121, 554
• GCD of 474, 644, 301, 803
• GCD of 238, 983, 700, 275

Given numbers are 270, 288, 255, 477
The greatest common divisor of numbers 270, 288, 255, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 288, 255, 477 is 3.

1. What is the GCD of 270, 288, 255, 477?

GCD of given numbers 270, 288, 255, 477 is 3

2. How to calculate the greatest common divisor of 270, 288, 255, 477?

We can find the highest common divisor of 270, 288, 255, 477 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 270, 288, 255, 477 i.e 3.

3. How can I use the GCD of 270, 288, 255, 477Calculator?

Out the numbers 270, 288, 255, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.