GCD of 360, 731, 15, 657 Calculator

Given Input numbers are 360, 731, 15, 657

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 360, 731, 15, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 731, 15, 657 is 1.

Therefore, GCD of numbers 360, 731, 15, 657 is 1

Given Input Data is 360, 731, 15, 657

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 731 is 17 x 43

Prime Factorization of 15 is 3 x 5

Prime Factorization of 657 is 3 x 3 x 73

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, 731) = 263160

GCD(360, 731) = ( 360 x 731 ) / 263160

GCD(360, 731) = 263160 / 263160

GCD(360, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 360, 731, 15, 657 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 355, 33, 943
• GCD of 929, 931, 41, 108
• GCD of 841, 657, 23, 919
• GCD of 770, 241, 26, 646
• GCD of 882, 379, 98, 399

1. What is the GCD of 360, 731, 15, 657?

GCD of 360, 731, 15, 657 is 1

2. Where do I get the detailed procedure to find GCD of 360, 731, 15, 657?

You can find a detailed procedure to find GCD of 360, 731, 15, 657 on our page.

3. How to find GCD of 360, 731, 15, 657 on a calculator?

You can find the GCD of 360, 731, 15, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.