GCD of 438, 522, 865, 168 Calculator

Given Input numbers are 438, 522, 865, 168

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

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 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 438, 522, 865, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 522, 865, 168 is 1.

Therefore, GCD of numbers 438, 522, 865, 168 is 1

Given Input Data is 438, 522, 865, 168

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

Prime Factorization of 438 is 2 x 3 x 73

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(438, 522) = 38106

GCD(438, 522) = ( 438 x 522 ) / 38106

GCD(438, 522) = 228636 / 38106

GCD(438, 522) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 865

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

LCM(6, 865) = 5190

GCD(6, 865) = ( 6 x 865 ) / 5190

GCD(6, 865) = 5190 / 5190

GCD(6, 865) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 438, 522, 865, 168 is 1

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1. What is the GCD of 438, 522, 865, 168?

GCD of 438, 522, 865, 168 is 1

2. Where do I get the detailed procedure to find GCD of 438, 522, 865, 168?

You can find a detailed procedure to find GCD of 438, 522, 865, 168 on our page.

3. How to find GCD of 438, 522, 865, 168 on a calculator?

You can find the GCD of 438, 522, 865, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.