GCD of 523, 961, 838 Calculator

Given Input numbers are 523, 961, 838

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 523, 961, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 961, 838 is 1.

Therefore, GCD of numbers 523, 961, 838 is 1

Given Input Data is 523, 961, 838

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

Prime Factorization of 523 is 523

Prime Factorization of 961 is 31 x 31

Prime Factorization of 838 is 2 x 419

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, 961) = 502603

GCD(523, 961) = ( 523 x 961 ) / 502603

GCD(523, 961) = 502603 / 502603

GCD(523, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 523, 961, 838 is 1

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1. What is the GCD of 523, 961, 838?

GCD of 523, 961, 838 is 1

2. Where do I get the detailed procedure to find GCD of 523, 961, 838?

You can find a detailed procedure to find GCD of 523, 961, 838 on our page.

3. How to find GCD of 523, 961, 838 on a calculator?

You can find the GCD of 523, 961, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.