GCD of 768, 609, 83, 691 Calculator

Given Input numbers are 768, 609, 83, 691

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 768, 609, 83, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 609, 83, 691 is 1.

Therefore, GCD of numbers 768, 609, 83, 691 is 1

Given Input Data is 768, 609, 83, 691

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 83 is 83

Prime Factorization of 691 is 691

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(768, 609) = 155904

GCD(768, 609) = ( 768 x 609 ) / 155904

GCD(768, 609) = 467712 / 155904

GCD(768, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 768, 609, 83, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 822, 908, 22, 437
• GCD of 991, 551, 74, 989
• GCD of 687, 750, 71, 234
• GCD of 631, 434, 41, 469
• GCD of 196, 616, 20, 311

1. What is the GCD of 768, 609, 83, 691?

GCD of 768, 609, 83, 691 is 1

2. Where do I get the detailed procedure to find GCD of 768, 609, 83, 691?

You can find a detailed procedure to find GCD of 768, 609, 83, 691 on our page.

3. How to find GCD of 768, 609, 83, 691 on a calculator?

You can find the GCD of 768, 609, 83, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.