GCD of 698, 722, 351 Calculator

Given Input numbers are 698, 722, 351

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 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 698, 722, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 722, 351 is 1.

Therefore, GCD of numbers 698, 722, 351 is 1

Given Input Data is 698, 722, 351

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 351 is 3 x 3 x 3 x 13

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, 722) = 251978

GCD(698, 722) = ( 698 x 722 ) / 251978

GCD(698, 722) = 503956 / 251978

GCD(698, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 351

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

LCM(2, 351) = 702

GCD(2, 351) = ( 2 x 351 ) / 702

GCD(2, 351) = 702 / 702

GCD(2, 351) = 1

GCD of 698, 722, 351 is 1

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1. What is the GCD of 698, 722, 351?

GCD of 698, 722, 351 is 1

2. Where do I get the detailed procedure to find GCD of 698, 722, 351?

You can find a detailed procedure to find GCD of 698, 722, 351 on our page.

3. How to find GCD of 698, 722, 351 on a calculator?

You can find the GCD of 698, 722, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.