GCD of 360, 363, 73, 315 Calculator

Given Input numbers are 360, 363, 73, 315

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 360, 363, 73, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 363, 73, 315 is 1.

Therefore, GCD of numbers 360, 363, 73, 315 is 1

Given Input Data is 360, 363, 73, 315

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 73 is 73

Prime Factorization of 315 is 3 x 3 x 5 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(360, 363) = 43560

GCD(360, 363) = ( 360 x 363 ) / 43560

GCD(360, 363) = 130680 / 43560

GCD(360, 363) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 360, 363, 73, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 600, 96, 650
• GCD of 623, 904, 12, 967
• GCD of 924, 832, 46, 227
• GCD of 333, 348, 22, 716
• GCD of 821, 178, 61, 458

1. What is the GCD of 360, 363, 73, 315?

GCD of 360, 363, 73, 315 is 1

2. Where do I get the detailed procedure to find GCD of 360, 363, 73, 315?

You can find a detailed procedure to find GCD of 360, 363, 73, 315 on our page.

3. How to find GCD of 360, 363, 73, 315 on a calculator?

You can find the GCD of 360, 363, 73, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.