GCD of 29, 488, 162, 523 Calculator

Given Input numbers are 29, 488, 162, 523

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 29, 488, 162, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 488, 162, 523 is 1.

Therefore, GCD of numbers 29, 488, 162, 523 is 1

Given Input Data is 29, 488, 162, 523

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

Prime Factorization of 29 is 29

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 523 is 523

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(29, 488) = 14152

GCD(29, 488) = ( 29 x 488 ) / 14152

GCD(29, 488) = 14152 / 14152

GCD(29, 488) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 29, 488, 162, 523 is 1

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1. What is the GCD of 29, 488, 162, 523?

GCD of 29, 488, 162, 523 is 1

2. Where do I get the detailed procedure to find GCD of 29, 488, 162, 523?

You can find a detailed procedure to find GCD of 29, 488, 162, 523 on our page.

3. How to find GCD of 29, 488, 162, 523 on a calculator?

You can find the GCD of 29, 488, 162, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.