GCD of 522, 436, 78, 846 Calculator

Given Input numbers are 522, 436, 78, 846

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 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 522, 436, 78, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 436, 78, 846 is 2.

Therefore, GCD of numbers 522, 436, 78, 846 is 2

Given Input Data is 522, 436, 78, 846

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 436 is 2 x 2 x 109

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 846 is 2 x 3 x 3 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 436) = 113796

GCD(522, 436) = ( 522 x 436 ) / 113796

GCD(522, 436) = 227592 / 113796

GCD(522, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

GCD of 522, 436, 78, 846 is 2

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1. What is the GCD of 522, 436, 78, 846?

GCD of 522, 436, 78, 846 is 2

2. Where do I get the detailed procedure to find GCD of 522, 436, 78, 846?

You can find a detailed procedure to find GCD of 522, 436, 78, 846 on our page.

3. How to find GCD of 522, 436, 78, 846 on a calculator?

You can find the GCD of 522, 436, 78, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.