GCD of 360, 865, 34, 286 Calculator

Given Input numbers are 360, 865, 34, 286

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 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 360, 865, 34, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 865, 34, 286 is 1.

Therefore, GCD of numbers 360, 865, 34, 286 is 1

Given Input Data is 360, 865, 34, 286

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 865 is 5 x 173

Prime Factorization of 34 is 2 x 17

Prime Factorization of 286 is 2 x 11 x 13

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, 865) = 62280

GCD(360, 865) = ( 360 x 865 ) / 62280

GCD(360, 865) = 311400 / 62280

GCD(360, 865) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 34

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

LCM(5, 34) = 170

GCD(5, 34) = ( 5 x 34 ) / 170

GCD(5, 34) = 170 / 170

GCD(5, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 360, 865, 34, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 537, 84, 376
• GCD of 886, 517, 96, 517
• GCD of 267, 586, 69, 538
• GCD of 134, 971, 24, 237
• GCD of 419, 352, 18, 233

1. What is the GCD of 360, 865, 34, 286?

GCD of 360, 865, 34, 286 is 1

2. Where do I get the detailed procedure to find GCD of 360, 865, 34, 286?

You can find a detailed procedure to find GCD of 360, 865, 34, 286 on our page.

3. How to find GCD of 360, 865, 34, 286 on a calculator?

You can find the GCD of 360, 865, 34, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.