GCD of 360, 927, 255, 312 Calculator

Given Input numbers are 360, 927, 255, 312

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

Divisors of 255 :

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

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (360, 927, 255, 312) = 3.

Given numbers are 360, 927, 255, 312

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 927 are 3 x 3 x 103

Prime factors of 255 are 3 x 5 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 360, 927, 255, 312 is 3.

Given numbers are 360, 927, 255, 312

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

Apply this formula for all numbers.

Step1:

LCM(360, 927) = 37080

GCD(360, 927) = ( 360 x 927 ) / 37080

= 360 / 927

= 360

Step2:

LCM(9, 255) = 765

GCD(9, 255) = ( 9 x 255 ) / 765

= 9 / 255

= 9

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 360, 927, 255, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 164, 460, 494
• GCD of 905, 445, 109, 852
• GCD of 243, 104, 495, 144
• GCD of 530, 276, 258, 109
• GCD of 656, 476, 871, 268

Given numbers are 360, 927, 255, 312
The greatest common divisor of numbers 360, 927, 255, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 927, 255, 312 is 3.

1. What is the GCD of 360, 927, 255, 312?

GCD of given numbers 360, 927, 255, 312 is 3

2. How to calculate the greatest common divisor of 360, 927, 255, 312?

We can find the highest common divisor of 360, 927, 255, 312 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 360, 927, 255, 312 i.e 3.

3. How can I use the GCD of 360, 927, 255, 312Calculator?

Out the numbers 360, 927, 255, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.