GCD of 522, 561, 645 Calculator

Given Input numbers are 522, 561, 645

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

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 522, 561, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 561, 645 is 3.

Therefore, GCD of numbers 522, 561, 645 is 3

Given Input Data is 522, 561, 645

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

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 645 is 3 x 5 x 43

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(522, 561) = 97614

GCD(522, 561) = ( 522 x 561 ) / 97614

GCD(522, 561) = 292842 / 97614

GCD(522, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

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

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

GCD of 522, 561, 645 is 3

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1. What is the GCD of 522, 561, 645?

GCD of 522, 561, 645 is 3

2. Where do I get the detailed procedure to find GCD of 522, 561, 645?

You can find a detailed procedure to find GCD of 522, 561, 645 on our page.

3. How to find GCD of 522, 561, 645 on a calculator?

You can find the GCD of 522, 561, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.