GCD of 338, 507, 698 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 338, 507, 698 i.e. 1 largest integer that divides all the numbers equally.

GCD of 338, 507, 698 is 1

GCD(338, 507, 698) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 338, 507, 698 is 1

GCD(338, 507, 698) = 1

GCD of 338,507,698 Calculator

GCDof 338,507,698 is 1

Given Input numbers are 338, 507, 698

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

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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 338, 507, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 507, 698 is 1.

Therefore, GCD of numbers 338, 507, 698 is 1

Finding GCD of 338, 507, 698 using Prime Factorization

Given Input Data is 338, 507, 698

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 698 is 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 338, 507, 698 using LCM Formula

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(338, 507) = 1014

GCD(338, 507) = ( 338 x 507 ) / 1014

GCD(338, 507) = 171366 / 1014

GCD(338, 507) = 169

Step2:

Here we consider the GCD from the above i.e. 169 as first number and the next as 698

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

LCM(169, 698) = 117962

GCD(169, 698) = ( 169 x 698 ) / 117962

GCD(169, 698) = 117962 / 117962

GCD(169, 698) = 1

GCD of 338, 507, 698 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 338, 507, 698

1. What is the GCD of 338, 507, 698?

GCD of 338, 507, 698 is 1

2. Where do I get the detailed procedure to find GCD of 338, 507, 698?

You can find a detailed procedure to find GCD of 338, 507, 698 on our page.

3. How to find GCD of 338, 507, 698 on a calculator?

You can find the GCD of 338, 507, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.