GCD of 523, 483, 732, 899 Calculator

Given Input numbers are 523, 483, 732, 899

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

Divisors of 523

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

1, 523

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 523, 483, 732, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 483, 732, 899 is 1.

Therefore, GCD of numbers 523, 483, 732, 899 is 1

Given Input Data is 523, 483, 732, 899

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

Prime Factorization of 523 is 523

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 899 is 29 x 31

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(523, 483) = 252609

GCD(523, 483) = ( 523 x 483 ) / 252609

GCD(523, 483) = 252609 / 252609

GCD(523, 483) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 523, 483, 732, 899 is 1

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1. What is the GCD of 523, 483, 732, 899?

GCD of 523, 483, 732, 899 is 1

2. Where do I get the detailed procedure to find GCD of 523, 483, 732, 899?

You can find a detailed procedure to find GCD of 523, 483, 732, 899 on our page.

3. How to find GCD of 523, 483, 732, 899 on a calculator?

You can find the GCD of 523, 483, 732, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.