GCD of 369, 689, 311 Calculator

Given Input numbers are 369, 689, 311

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 689

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

1, 13, 53, 689

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 369, 689, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 689, 311 is 1.

Therefore, GCD of numbers 369, 689, 311 is 1

Given Input Data is 369, 689, 311

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 689 is 13 x 53

Prime Factorization of 311 is 311

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(369, 689) = 254241

GCD(369, 689) = ( 369 x 689 ) / 254241

GCD(369, 689) = 254241 / 254241

GCD(369, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 369, 689, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 439, 666
• GCD of 454, 778, 759
• GCD of 660, 894, 478
• GCD of 921, 539, 844
• GCD of 327, 262, 136

1. What is the GCD of 369, 689, 311?

GCD of 369, 689, 311 is 1

2. Where do I get the detailed procedure to find GCD of 369, 689, 311?

You can find a detailed procedure to find GCD of 369, 689, 311 on our page.

3. How to find GCD of 369, 689, 311 on a calculator?

You can find the GCD of 369, 689, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.