GCD of 963, 522, 786, 531 Calculator

Given Input numbers are 963, 522, 786, 531

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 963, 522, 786, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 522, 786, 531 is 3.

Therefore, GCD of numbers 963, 522, 786, 531 is 3

Given Input Data is 963, 522, 786, 531

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

Prime Factorization of 963 is 3 x 3 x 107

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 531 is 3 x 3 x 59

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(963, 522) = 55854

GCD(963, 522) = ( 963 x 522 ) / 55854

GCD(963, 522) = 502686 / 55854

GCD(963, 522) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 786

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

LCM(9, 786) = 2358

GCD(9, 786) = ( 9 x 786 ) / 2358

GCD(9, 786) = 7074 / 2358

GCD(9, 786) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 531

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

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

GCD(3, 531) = 1593 / 531

GCD(3, 531) = 3

GCD of 963, 522, 786, 531 is 3

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1. What is the GCD of 963, 522, 786, 531?

GCD of 963, 522, 786, 531 is 3

2. Where do I get the detailed procedure to find GCD of 963, 522, 786, 531?

You can find a detailed procedure to find GCD of 963, 522, 786, 531 on our page.

3. How to find GCD of 963, 522, 786, 531 on a calculator?

You can find the GCD of 963, 522, 786, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.