GCD of 307, 689, 559 Calculator

Given Input numbers are 307, 689, 559

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

Divisors of 307

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

1, 307

Divisors of 689

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

1, 13, 53, 689

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 307, 689, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 689, 559 is 1.

Therefore, GCD of numbers 307, 689, 559 is 1

Given Input Data is 307, 689, 559

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

Prime Factorization of 307 is 307

Prime Factorization of 689 is 13 x 53

Prime Factorization of 559 is 13 x 43

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(307, 689) = 211523

GCD(307, 689) = ( 307 x 689 ) / 211523

GCD(307, 689) = 211523 / 211523

GCD(307, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 307, 689, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 338, 864
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• GCD of 253, 911, 989
• GCD of 899, 491, 202
• GCD of 997, 118, 384

1. What is the GCD of 307, 689, 559?

GCD of 307, 689, 559 is 1

2. Where do I get the detailed procedure to find GCD of 307, 689, 559?

You can find a detailed procedure to find GCD of 307, 689, 559 on our page.

3. How to find GCD of 307, 689, 559 on a calculator?

You can find the GCD of 307, 689, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.