GCD of 22, 106, 893, 698 Calculator

Given Input numbers are 22, 106, 893, 698

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 22, 106, 893, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 106, 893, 698 is 1.

Therefore, GCD of numbers 22, 106, 893, 698 is 1

Given Input Data is 22, 106, 893, 698

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 106 is 2 x 53

Prime Factorization of 893 is 19 x 47

Prime Factorization of 698 is 2 x 349

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(22, 106) = 1166

GCD(22, 106) = ( 22 x 106 ) / 1166

GCD(22, 106) = 2332 / 1166

GCD(22, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 893

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

LCM(2, 893) = 1786

GCD(2, 893) = ( 2 x 893 ) / 1786

GCD(2, 893) = 1786 / 1786

GCD(2, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 22, 106, 893, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 870, 373, 828
• GCD of 41, 223, 625, 531
• GCD of 10, 333, 543, 481
• GCD of 70, 347, 402, 775
• GCD of 87, 742, 585, 782

1. What is the GCD of 22, 106, 893, 698?

GCD of 22, 106, 893, 698 is 1

2. Where do I get the detailed procedure to find GCD of 22, 106, 893, 698?

You can find a detailed procedure to find GCD of 22, 106, 893, 698 on our page.

3. How to find GCD of 22, 106, 893, 698 on a calculator?

You can find the GCD of 22, 106, 893, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.