GCD of 523, 693, 184, 490 Calculator

Given Input numbers are 523, 693, 184, 490

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 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 523, 693, 184, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 693, 184, 490 is 1.

Therefore, GCD of numbers 523, 693, 184, 490 is 1

Given Input Data is 523, 693, 184, 490

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

Prime Factorization of 523 is 523

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 490 is 2 x 5 x 7 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(523, 693) = 362439

GCD(523, 693) = ( 523 x 693 ) / 362439

GCD(523, 693) = 362439 / 362439

GCD(523, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

GCD of 523, 693, 184, 490 is 1

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1. What is the GCD of 523, 693, 184, 490?

GCD of 523, 693, 184, 490 is 1

2. Where do I get the detailed procedure to find GCD of 523, 693, 184, 490?

You can find a detailed procedure to find GCD of 523, 693, 184, 490 on our page.

3. How to find GCD of 523, 693, 184, 490 on a calculator?

You can find the GCD of 523, 693, 184, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.