GCD of 507, 708, 364, 199 Calculator

Given Input numbers are 507, 708, 364, 199

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 507, 708, 364, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 708, 364, 199 is 1.

Therefore, GCD of numbers 507, 708, 364, 199 is 1

Given Input Data is 507, 708, 364, 199

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

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(507, 708) = 119652

GCD(507, 708) = ( 507 x 708 ) / 119652

GCD(507, 708) = 358956 / 119652

GCD(507, 708) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 364

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

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

GCD(3, 364) = 1092 / 1092

GCD(3, 364) = 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 507, 708, 364, 199 is 1

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1. What is the GCD of 507, 708, 364, 199?

GCD of 507, 708, 364, 199 is 1

2. Where do I get the detailed procedure to find GCD of 507, 708, 364, 199?

You can find a detailed procedure to find GCD of 507, 708, 364, 199 on our page.

3. How to find GCD of 507, 708, 364, 199 on a calculator?

You can find the GCD of 507, 708, 364, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.