GCD of 217, 689, 307 Calculator

Given Input numbers are 217, 689, 307

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 217, 689, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 689, 307 is 1.

Therefore, GCD of numbers 217, 689, 307 is 1

Given Input Data is 217, 689, 307

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 689 is 13 x 53

Prime Factorization of 307 is 307

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, 689) = 149513

GCD(217, 689) = ( 217 x 689 ) / 149513

GCD(217, 689) = 149513 / 149513

GCD(217, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 217, 689, 307 is 1

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• GCD of 624, 919, 493
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1. What is the GCD of 217, 689, 307?

GCD of 217, 689, 307 is 1

2. Where do I get the detailed procedure to find GCD of 217, 689, 307?

You can find a detailed procedure to find GCD of 217, 689, 307 on our page.

3. How to find GCD of 217, 689, 307 on a calculator?

You can find the GCD of 217, 689, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.