GCD of 360, 667, 56 Calculator

Given Input numbers are 360, 667, 56

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 360, 667, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 667, 56 is 1.

Therefore, GCD of numbers 360, 667, 56 is 1

Given Input Data is 360, 667, 56

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 667 is 23 x 29

Prime Factorization of 56 is 2 x 2 x 2 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, 667) = 240120

GCD(360, 667) = ( 360 x 667 ) / 240120

GCD(360, 667) = 240120 / 240120

GCD(360, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 360, 667, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 978, 61
• GCD of 429, 629, 92
• GCD of 108, 460, 81
• GCD of 658, 866, 39
• GCD of 761, 310, 61

1. What is the GCD of 360, 667, 56?

GCD of 360, 667, 56 is 1

2. Where do I get the detailed procedure to find GCD of 360, 667, 56?

You can find a detailed procedure to find GCD of 360, 667, 56 on our page.

3. How to find GCD of 360, 667, 56 on a calculator?

You can find the GCD of 360, 667, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.