GCD of 634, 698, 22, 861 Calculator

Given Input numbers are 634, 698, 22, 861

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 698

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

1, 2, 349, 698

Divisors of 22

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

1, 2, 11, 22

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 634, 698, 22, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 698, 22, 861 is 1.

Therefore, GCD of numbers 634, 698, 22, 861 is 1

Given Input Data is 634, 698, 22, 861

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 698 is 2 x 349

Prime Factorization of 22 is 2 x 11

Prime Factorization of 861 is 3 x 7 x 41

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(634, 698) = 221266

GCD(634, 698) = ( 634 x 698 ) / 221266

GCD(634, 698) = 442532 / 221266

GCD(634, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 634, 698, 22, 861 is 1

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1. What is the GCD of 634, 698, 22, 861?

GCD of 634, 698, 22, 861 is 1

2. Where do I get the detailed procedure to find GCD of 634, 698, 22, 861?

You can find a detailed procedure to find GCD of 634, 698, 22, 861 on our page.

3. How to find GCD of 634, 698, 22, 861 on a calculator?

You can find the GCD of 634, 698, 22, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.