GCD of 561, 840, 894, 522 Calculator

Given Input numbers are 561, 840, 894, 522

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

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 561, 840, 894, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 840, 894, 522 is 3.

Therefore, GCD of numbers 561, 840, 894, 522 is 3

Given Input Data is 561, 840, 894, 522

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 894 is 2 x 3 x 149

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

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(561, 840) = 157080

GCD(561, 840) = ( 561 x 840 ) / 157080

GCD(561, 840) = 471240 / 157080

GCD(561, 840) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 522

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

LCM(3, 522) = 522

GCD(3, 522) = ( 3 x 522 ) / 522

GCD(3, 522) = 1566 / 522

GCD(3, 522) = 3

GCD of 561, 840, 894, 522 is 3

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1. What is the GCD of 561, 840, 894, 522?

GCD of 561, 840, 894, 522 is 3

2. Where do I get the detailed procedure to find GCD of 561, 840, 894, 522?

You can find a detailed procedure to find GCD of 561, 840, 894, 522 on our page.

3. How to find GCD of 561, 840, 894, 522 on a calculator?

You can find the GCD of 561, 840, 894, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.