GCD of 537, 360, 82, 199 Calculator

Given Input numbers are 537, 360, 82, 199

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Greatest Common Divisior

We found the divisors of 537, 360, 82, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 360, 82, 199 is 1.

Therefore, GCD of numbers 537, 360, 82, 199 is 1

Given Input Data is 537, 360, 82, 199

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 537 is 3 x 179

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 199 is 199

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(537, 360) = 64440

GCD(537, 360) = ( 537 x 360 ) / 64440

GCD(537, 360) = 193320 / 64440

GCD(537, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 82

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

LCM(3, 82) = 246

GCD(3, 82) = ( 3 x 82 ) / 246

GCD(3, 82) = 246 / 246

GCD(3, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 537, 360, 82, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 159, 32, 358
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1. What is the GCD of 537, 360, 82, 199?

GCD of 537, 360, 82, 199 is 1

2. Where do I get the detailed procedure to find GCD of 537, 360, 82, 199?

You can find a detailed procedure to find GCD of 537, 360, 82, 199 on our page.

3. How to find GCD of 537, 360, 82, 199 on a calculator?

You can find the GCD of 537, 360, 82, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.