GCD of 765, 936, 522 Calculator

Given Input numbers are 765, 936, 522

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 765, 936, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 936, 522 is 9.

Therefore, GCD of numbers 765, 936, 522 is 9

Given Input Data is 765, 936, 522

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 522 is 2 x 3 x 3 x 29

Highest common occurrences in the given inputs are 3²

Multiplying them we get the GCD as 9

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, 936) = 79560

GCD(765, 936) = ( 765 x 936 ) / 79560

GCD(765, 936) = 716040 / 79560

GCD(765, 936) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 522

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

LCM(9, 522) = 522

GCD(9, 522) = ( 9 x 522 ) / 522

GCD(9, 522) = 4698 / 522

GCD(9, 522) = 9

GCD of 765, 936, 522 is 9

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1. What is the GCD of 765, 936, 522?

GCD of 765, 936, 522 is 9

2. Where do I get the detailed procedure to find GCD of 765, 936, 522?

You can find a detailed procedure to find GCD of 765, 936, 522 on our page.

3. How to find GCD of 765, 936, 522 on a calculator?

You can find the GCD of 765, 936, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.