GCD of 521, 295, 609, 842 Calculator

Given Input numbers are 521, 295, 609, 842

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 521, 295, 609, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 295, 609, 842 is 1.

Therefore, GCD of numbers 521, 295, 609, 842 is 1

Given Input Data is 521, 295, 609, 842

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

Prime Factorization of 521 is 521

Prime Factorization of 295 is 5 x 59

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 842 is 2 x 421

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(521, 295) = 153695

GCD(521, 295) = ( 521 x 295 ) / 153695

GCD(521, 295) = 153695 / 153695

GCD(521, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 521, 295, 609, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 115, 611, 705
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• GCD of 782, 851, 948, 293
• GCD of 723, 929, 349, 167

1. What is the GCD of 521, 295, 609, 842?

GCD of 521, 295, 609, 842 is 1

2. Where do I get the detailed procedure to find GCD of 521, 295, 609, 842?

You can find a detailed procedure to find GCD of 521, 295, 609, 842 on our page.

3. How to find GCD of 521, 295, 609, 842 on a calculator?

You can find the GCD of 521, 295, 609, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.