GCD of 523, 573, 42, 152 Calculator

Given Input numbers are 523, 573, 42, 152

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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 523, 573, 42, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 573, 42, 152 is 1.

Therefore, GCD of numbers 523, 573, 42, 152 is 1

Given Input Data is 523, 573, 42, 152

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

Prime Factorization of 523 is 523

Prime Factorization of 573 is 3 x 191

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 152 is 2 x 2 x 2 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, 573) = 299679

GCD(523, 573) = ( 523 x 573 ) / 299679

GCD(523, 573) = 299679 / 299679

GCD(523, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 523, 573, 42, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 842, 18, 195
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• GCD of 364, 538, 41, 618

1. What is the GCD of 523, 573, 42, 152?

GCD of 523, 573, 42, 152 is 1

2. Where do I get the detailed procedure to find GCD of 523, 573, 42, 152?

You can find a detailed procedure to find GCD of 523, 573, 42, 152 on our page.

3. How to find GCD of 523, 573, 42, 152 on a calculator?

You can find the GCD of 523, 573, 42, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.