GCD of 360, 119, 19, 915 Calculator

Given Input numbers are 360, 119, 19, 915

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 360, 119, 19, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 119, 19, 915 is 1.

Therefore, GCD of numbers 360, 119, 19, 915 is 1

Given Input Data is 360, 119, 19, 915

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 119 is 7 x 17

Prime Factorization of 19 is 19

Prime Factorization of 915 is 3 x 5 x 61

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, 119) = 42840

GCD(360, 119) = ( 360 x 119 ) / 42840

GCD(360, 119) = 42840 / 42840

GCD(360, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 360, 119, 19, 915 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 553, 37, 434
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• GCD of 433, 722, 47, 588
• GCD of 745, 750, 12, 370
• GCD of 197, 888, 97, 168

1. What is the GCD of 360, 119, 19, 915?

GCD of 360, 119, 19, 915 is 1

2. Where do I get the detailed procedure to find GCD of 360, 119, 19, 915?

You can find a detailed procedure to find GCD of 360, 119, 19, 915 on our page.

3. How to find GCD of 360, 119, 19, 915 on a calculator?

You can find the GCD of 360, 119, 19, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.