GCD of 814, 663, 25, 622 Calculator

Given Input numbers are 814, 663, 25, 622

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 622

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

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 814, 663, 25, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 663, 25, 622 is 1.

Therefore, GCD of numbers 814, 663, 25, 622 is 1

Given Input Data is 814, 663, 25, 622

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 25 is 5 x 5

Prime Factorization of 622 is 2 x 311

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(814, 663) = 539682

GCD(814, 663) = ( 814 x 663 ) / 539682

GCD(814, 663) = 539682 / 539682

GCD(814, 663) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 814, 663, 25, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 365, 30, 430
• GCD of 226, 784, 21, 266
• GCD of 729, 921, 81, 799
• GCD of 585, 240, 50, 372
• GCD of 861, 502, 92, 925

1. What is the GCD of 814, 663, 25, 622?

GCD of 814, 663, 25, 622 is 1

2. Where do I get the detailed procedure to find GCD of 814, 663, 25, 622?

You can find a detailed procedure to find GCD of 814, 663, 25, 622 on our page.

3. How to find GCD of 814, 663, 25, 622 on a calculator?

You can find the GCD of 814, 663, 25, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.