GCD of 765, 306, 691, 520 Calculator

Given Input numbers are 765, 306, 691, 520

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 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 691

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

1, 691

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 765, 306, 691, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 306, 691, 520 is 1.

Therefore, GCD of numbers 765, 306, 691, 520 is 1

Given Input Data is 765, 306, 691, 520

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 306 is 2 x 3 x 3 x 17

Prime Factorization of 691 is 691

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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, 306) = 1530

GCD(765, 306) = ( 765 x 306 ) / 1530

GCD(765, 306) = 234090 / 1530

GCD(765, 306) = 153

Step2:

Here we consider the GCD from the above i.e. 153 as first number and the next as 691

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

LCM(153, 691) = 105723

GCD(153, 691) = ( 153 x 691 ) / 105723

GCD(153, 691) = 105723 / 105723

GCD(153, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 520

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

LCM(1, 520) = 520

GCD(1, 520) = ( 1 x 520 ) / 520

GCD(1, 520) = 520 / 520

GCD(1, 520) = 1

GCD of 765, 306, 691, 520 is 1

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1. What is the GCD of 765, 306, 691, 520?

GCD of 765, 306, 691, 520 is 1

2. Where do I get the detailed procedure to find GCD of 765, 306, 691, 520?

You can find a detailed procedure to find GCD of 765, 306, 691, 520 on our page.

3. How to find GCD of 765, 306, 691, 520 on a calculator?

You can find the GCD of 765, 306, 691, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.