GCD of 625, 529, 494, 844 Calculator

Given Input numbers are 625, 529, 494, 844

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

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 625, 529, 494, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 529, 494, 844 is 1.

Therefore, GCD of numbers 625, 529, 494, 844 is 1

Given Input Data is 625, 529, 494, 844

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 529 is 23 x 23

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 844 is 2 x 2 x 211

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(625, 529) = 330625

GCD(625, 529) = ( 625 x 529 ) / 330625

GCD(625, 529) = 330625 / 330625

GCD(625, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 494

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

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

GCD(1, 494) = 494 / 494

GCD(1, 494) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 625, 529, 494, 844 is 1

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1. What is the GCD of 625, 529, 494, 844?

GCD of 625, 529, 494, 844 is 1

2. Where do I get the detailed procedure to find GCD of 625, 529, 494, 844?

You can find a detailed procedure to find GCD of 625, 529, 494, 844 on our page.

3. How to find GCD of 625, 529, 494, 844 on a calculator?

You can find the GCD of 625, 529, 494, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.