GCD of 360, 119, 72, 595 Calculator

Given Input numbers are 360, 119, 72, 595

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Greatest Common Divisior

We found the divisors of 360, 119, 72, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 119, 72, 595 is 1.

Therefore, GCD of numbers 360, 119, 72, 595 is 1

Given Input Data is 360, 119, 72, 595

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 595 is 5 x 7 x 17

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 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 595

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

LCM(1, 595) = 595

GCD(1, 595) = ( 1 x 595 ) / 595

GCD(1, 595) = 595 / 595

GCD(1, 595) = 1

GCD of 360, 119, 72, 595 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 727, 70, 662
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• GCD of 998, 294, 55, 309

1. What is the GCD of 360, 119, 72, 595?

GCD of 360, 119, 72, 595 is 1

2. Where do I get the detailed procedure to find GCD of 360, 119, 72, 595?

You can find a detailed procedure to find GCD of 360, 119, 72, 595 on our page.

3. How to find GCD of 360, 119, 72, 595 on a calculator?

You can find the GCD of 360, 119, 72, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.