GCD of 361, 634, 523, 581 Calculator

Given Input numbers are 361, 634, 523, 581

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 361, 634, 523, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 634, 523, 581 is 1.

Therefore, GCD of numbers 361, 634, 523, 581 is 1

Given Input Data is 361, 634, 523, 581

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 634 is 2 x 317

Prime Factorization of 523 is 523

Prime Factorization of 581 is 7 x 83

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(361, 634) = 228874

GCD(361, 634) = ( 361 x 634 ) / 228874

GCD(361, 634) = 228874 / 228874

GCD(361, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 361, 634, 523, 581 is 1

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1. What is the GCD of 361, 634, 523, 581?

GCD of 361, 634, 523, 581 is 1

2. Where do I get the detailed procedure to find GCD of 361, 634, 523, 581?

You can find a detailed procedure to find GCD of 361, 634, 523, 581 on our page.

3. How to find GCD of 361, 634, 523, 581 on a calculator?

You can find the GCD of 361, 634, 523, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.