GCD of 523, 901, 83, 538 Calculator

Given Input numbers are 523, 901, 83, 538

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 523, 901, 83, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 901, 83, 538 is 1.

Therefore, GCD of numbers 523, 901, 83, 538 is 1

Given Input Data is 523, 901, 83, 538

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

Prime Factorization of 523 is 523

Prime Factorization of 901 is 17 x 53

Prime Factorization of 83 is 83

Prime Factorization of 538 is 2 x 269

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, 901) = 471223

GCD(523, 901) = ( 523 x 901 ) / 471223

GCD(523, 901) = 471223 / 471223

GCD(523, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 523, 901, 83, 538 is 1

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• GCD of 436, 482, 45, 113
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1. What is the GCD of 523, 901, 83, 538?

GCD of 523, 901, 83, 538 is 1

2. Where do I get the detailed procedure to find GCD of 523, 901, 83, 538?

You can find a detailed procedure to find GCD of 523, 901, 83, 538 on our page.

3. How to find GCD of 523, 901, 83, 538 on a calculator?

You can find the GCD of 523, 901, 83, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.