GCD of 825, 812, 53, 655 Calculator

Given Input numbers are 825, 812, 53, 655

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 825, 812, 53, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 812, 53, 655 is 1.

Therefore, GCD of numbers 825, 812, 53, 655 is 1

Given Input Data is 825, 812, 53, 655

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 812 is 2 x 2 x 7 x 29

Prime Factorization of 53 is 53

Prime Factorization of 655 is 5 x 131

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, 812) = 669900

GCD(825, 812) = ( 825 x 812 ) / 669900

GCD(825, 812) = 669900 / 669900

GCD(825, 812) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 825, 812, 53, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 280, 98, 176
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• GCD of 753, 811, 39, 604

1. What is the GCD of 825, 812, 53, 655?

GCD of 825, 812, 53, 655 is 1

2. Where do I get the detailed procedure to find GCD of 825, 812, 53, 655?

You can find a detailed procedure to find GCD of 825, 812, 53, 655 on our page.

3. How to find GCD of 825, 812, 53, 655 on a calculator?

You can find the GCD of 825, 812, 53, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.