GCD of 825, 423, 46, 591 Calculator

Given Input numbers are 825, 423, 46, 591

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 825, 423, 46, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 423, 46, 591 is 1.

Therefore, GCD of numbers 825, 423, 46, 591 is 1

Given Input Data is 825, 423, 46, 591

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 423 is 3 x 3 x 47

Prime Factorization of 46 is 2 x 23

Prime Factorization of 591 is 3 x 197

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, 423) = 116325

GCD(825, 423) = ( 825 x 423 ) / 116325

GCD(825, 423) = 348975 / 116325

GCD(825, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 825, 423, 46, 591 is 1

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1. What is the GCD of 825, 423, 46, 591?

GCD of 825, 423, 46, 591 is 1

2. Where do I get the detailed procedure to find GCD of 825, 423, 46, 591?

You can find a detailed procedure to find GCD of 825, 423, 46, 591 on our page.

3. How to find GCD of 825, 423, 46, 591 on a calculator?

You can find the GCD of 825, 423, 46, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.