GCD of 441, 522, 138, 887 Calculator

Given Input numbers are 441, 522, 138, 887

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Greatest Common Divisior

We found the divisors of 441, 522, 138, 887 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 522, 138, 887 is 1.

Therefore, GCD of numbers 441, 522, 138, 887 is 1

Given Input Data is 441, 522, 138, 887

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 887 is 887

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(441, 522) = 25578

GCD(441, 522) = ( 441 x 522 ) / 25578

GCD(441, 522) = 230202 / 25578

GCD(441, 522) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 138

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

LCM(9, 138) = 414

GCD(9, 138) = ( 9 x 138 ) / 414

GCD(9, 138) = 1242 / 414

GCD(9, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 887

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

LCM(3, 887) = 2661

GCD(3, 887) = ( 3 x 887 ) / 2661

GCD(3, 887) = 2661 / 2661

GCD(3, 887) = 1

GCD of 441, 522, 138, 887 is 1

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1. What is the GCD of 441, 522, 138, 887?

GCD of 441, 522, 138, 887 is 1

2. Where do I get the detailed procedure to find GCD of 441, 522, 138, 887?

You can find a detailed procedure to find GCD of 441, 522, 138, 887 on our page.

3. How to find GCD of 441, 522, 138, 887 on a calculator?

You can find the GCD of 441, 522, 138, 887 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.