GCD of 517, 657, 200, 694 Calculator

Given Input numbers are 517, 657, 200, 694

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 517, 657, 200, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 657, 200, 694 is 1.

Therefore, GCD of numbers 517, 657, 200, 694 is 1

Given Input Data is 517, 657, 200, 694

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 694 is 2 x 347

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(517, 657) = 339669

GCD(517, 657) = ( 517 x 657 ) / 339669

GCD(517, 657) = 339669 / 339669

GCD(517, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 517, 657, 200, 694 is 1

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1. What is the GCD of 517, 657, 200, 694?

GCD of 517, 657, 200, 694 is 1

2. Where do I get the detailed procedure to find GCD of 517, 657, 200, 694?

You can find a detailed procedure to find GCD of 517, 657, 200, 694 on our page.

3. How to find GCD of 517, 657, 200, 694 on a calculator?

You can find the GCD of 517, 657, 200, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.