GCD of 854, 622, 31, 225 Calculator

Given Input numbers are 854, 622, 31, 225

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 854, 622, 31, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 622, 31, 225 is 1.

Therefore, GCD of numbers 854, 622, 31, 225 is 1

Given Input Data is 854, 622, 31, 225

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 622 is 2 x 311

Prime Factorization of 31 is 31

Prime Factorization of 225 is 3 x 3 x 5 x 5

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(854, 622) = 265594

GCD(854, 622) = ( 854 x 622 ) / 265594

GCD(854, 622) = 531188 / 265594

GCD(854, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 854, 622, 31, 225 is 1

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• GCD of 624, 794, 68, 671
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1. What is the GCD of 854, 622, 31, 225?

GCD of 854, 622, 31, 225 is 1

2. Where do I get the detailed procedure to find GCD of 854, 622, 31, 225?

You can find a detailed procedure to find GCD of 854, 622, 31, 225 on our page.

3. How to find GCD of 854, 622, 31, 225 on a calculator?

You can find the GCD of 854, 622, 31, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.