GCD of 465, 844, 33, 825 Calculator

Given Input numbers are 465, 844, 33, 825

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 844

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

1, 2, 4, 211, 422, 844

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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

Greatest Common Divisior

We found the divisors of 465, 844, 33, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 844, 33, 825 is 1.

Therefore, GCD of numbers 465, 844, 33, 825 is 1

Given Input Data is 465, 844, 33, 825

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 33 is 3 x 11

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

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(465, 844) = 392460

GCD(465, 844) = ( 465 x 844 ) / 392460

GCD(465, 844) = 392460 / 392460

GCD(465, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 465, 844, 33, 825 is 1

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1. What is the GCD of 465, 844, 33, 825?

GCD of 465, 844, 33, 825 is 1

2. Where do I get the detailed procedure to find GCD of 465, 844, 33, 825?

You can find a detailed procedure to find GCD of 465, 844, 33, 825 on our page.

3. How to find GCD of 465, 844, 33, 825 on a calculator?

You can find the GCD of 465, 844, 33, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.