GCD of 523, 462, 699, 474 Calculator

Given Input numbers are 523, 462, 699, 474

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 523, 462, 699, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 462, 699, 474 is 1.

Therefore, GCD of numbers 523, 462, 699, 474 is 1

Given Input Data is 523, 462, 699, 474

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

Prime Factorization of 523 is 523

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 699 is 3 x 233

Prime Factorization of 474 is 2 x 3 x 79

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, 462) = 241626

GCD(523, 462) = ( 523 x 462 ) / 241626

GCD(523, 462) = 241626 / 241626

GCD(523, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 523, 462, 699, 474 is 1

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• GCD of 616, 384, 898, 713
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1. What is the GCD of 523, 462, 699, 474?

GCD of 523, 462, 699, 474 is 1

2. Where do I get the detailed procedure to find GCD of 523, 462, 699, 474?

You can find a detailed procedure to find GCD of 523, 462, 699, 474 on our page.

3. How to find GCD of 523, 462, 699, 474 on a calculator?

You can find the GCD of 523, 462, 699, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.