GCD of 765, 494, 687 Calculator

Given Input numbers are 765, 494, 687

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 765, 494, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 494, 687 is 1.

Therefore, GCD of numbers 765, 494, 687 is 1

Given Input Data is 765, 494, 687

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 687 is 3 x 229

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(765, 494) = 377910

GCD(765, 494) = ( 765 x 494 ) / 377910

GCD(765, 494) = 377910 / 377910

GCD(765, 494) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 765, 494, 687 is 1

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1. What is the GCD of 765, 494, 687?

GCD of 765, 494, 687 is 1

2. Where do I get the detailed procedure to find GCD of 765, 494, 687?

You can find a detailed procedure to find GCD of 765, 494, 687 on our page.

3. How to find GCD of 765, 494, 687 on a calculator?

You can find the GCD of 765, 494, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.