GCD of 217, 517, 76, 694 Calculator

Given Input numbers are 217, 517, 76, 694

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 517

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

1, 11, 47, 517

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

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 217, 517, 76, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 517, 76, 694 is 1.

Therefore, GCD of numbers 217, 517, 76, 694 is 1

Given Input Data is 217, 517, 76, 694

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 517 is 11 x 47

Prime Factorization of 76 is 2 x 2 x 19

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(217, 517) = 112189

GCD(217, 517) = ( 217 x 517 ) / 112189

GCD(217, 517) = 112189 / 112189

GCD(217, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 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 217, 517, 76, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 385, 70, 142
• GCD of 506, 251, 26, 339
• GCD of 617, 981, 35, 938
• GCD of 355, 845, 92, 968
• GCD of 169, 225, 93, 993

1. What is the GCD of 217, 517, 76, 694?

GCD of 217, 517, 76, 694 is 1

2. Where do I get the detailed procedure to find GCD of 217, 517, 76, 694?

You can find a detailed procedure to find GCD of 217, 517, 76, 694 on our page.

3. How to find GCD of 217, 517, 76, 694 on a calculator?

You can find the GCD of 217, 517, 76, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.