GCD of 698, 406, 633 Calculator

Given Input numbers are 698, 406, 633

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 698, 406, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 406, 633 is 1.

Therefore, GCD of numbers 698, 406, 633 is 1

Given Input Data is 698, 406, 633

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 633 is 3 x 211

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(698, 406) = 141694

GCD(698, 406) = ( 698 x 406 ) / 141694

GCD(698, 406) = 283388 / 141694

GCD(698, 406) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 698, 406, 633 is 1

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1. What is the GCD of 698, 406, 633?

GCD of 698, 406, 633 is 1

2. Where do I get the detailed procedure to find GCD of 698, 406, 633?

You can find a detailed procedure to find GCD of 698, 406, 633 on our page.

3. How to find GCD of 698, 406, 633 on a calculator?

You can find the GCD of 698, 406, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.