GCD of 822, 668, 26, 225 Calculator

Given Input numbers are 822, 668, 26, 225

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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 822, 668, 26, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 668, 26, 225 is 1.

Therefore, GCD of numbers 822, 668, 26, 225 is 1

Given Input Data is 822, 668, 26, 225

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

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 26 is 2 x 13

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(822, 668) = 274548

GCD(822, 668) = ( 822 x 668 ) / 274548

GCD(822, 668) = 549096 / 274548

GCD(822, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

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

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 822, 668, 26, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 259, 81, 761
• GCD of 621, 883, 59, 948
• GCD of 453, 848, 70, 710
• GCD of 180, 409, 55, 297
• GCD of 661, 669, 58, 856

1. What is the GCD of 822, 668, 26, 225?

GCD of 822, 668, 26, 225 is 1

2. Where do I get the detailed procedure to find GCD of 822, 668, 26, 225?

You can find a detailed procedure to find GCD of 822, 668, 26, 225 on our page.

3. How to find GCD of 822, 668, 26, 225 on a calculator?

You can find the GCD of 822, 668, 26, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.