GCD of 523, 408, 172, 532 Calculator

Given Input numbers are 523, 408, 172, 532

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 523, 408, 172, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 408, 172, 532 is 1.

Therefore, GCD of numbers 523, 408, 172, 532 is 1

Given Input Data is 523, 408, 172, 532

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

Prime Factorization of 523 is 523

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 532 is 2 x 2 x 7 x 19

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, 408) = 213384

GCD(523, 408) = ( 523 x 408 ) / 213384

GCD(523, 408) = 213384 / 213384

GCD(523, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 523, 408, 172, 532 is 1

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1. What is the GCD of 523, 408, 172, 532?

GCD of 523, 408, 172, 532 is 1

2. Where do I get the detailed procedure to find GCD of 523, 408, 172, 532?

You can find a detailed procedure to find GCD of 523, 408, 172, 532 on our page.

3. How to find GCD of 523, 408, 172, 532 on a calculator?

You can find the GCD of 523, 408, 172, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.