GCD of 825, 562, 109, 321 Calculator

Given Input numbers are 825, 562, 109, 321

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 825, 562, 109, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 562, 109, 321 is 1.

Therefore, GCD of numbers 825, 562, 109, 321 is 1

Given Input Data is 825, 562, 109, 321

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 562 is 2 x 281

Prime Factorization of 109 is 109

Prime Factorization of 321 is 3 x 107

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(825, 562) = 463650

GCD(825, 562) = ( 825 x 562 ) / 463650

GCD(825, 562) = 463650 / 463650

GCD(825, 562) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 825, 562, 109, 321 is 1

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1. What is the GCD of 825, 562, 109, 321?

GCD of 825, 562, 109, 321 is 1

2. Where do I get the detailed procedure to find GCD of 825, 562, 109, 321?

You can find a detailed procedure to find GCD of 825, 562, 109, 321 on our page.

3. How to find GCD of 825, 562, 109, 321 on a calculator?

You can find the GCD of 825, 562, 109, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.