GCD of 699, 420, 238 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 699, 420, 238 i.e. 1 largest integer that divides all the numbers equally.

GCD of 699, 420, 238 is 1

GCD(699, 420, 238) = 1

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

GCD of

GCD of numbers 699, 420, 238 is 1

GCD(699, 420, 238) = 1

GCD of 699,420,238 Calculator

GCDof 699,420,238 is 1

Given Input numbers are 699, 420, 238

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 699, 420, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 420, 238 is 1.

Therefore, GCD of numbers 699, 420, 238 is 1

Finding GCD of 699, 420, 238 using Prime Factorization

Given Input Data is 699, 420, 238

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 238 is 2 x 7 x 17

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

Finding GCD of 699, 420, 238 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(699, 420) = 97860

GCD(699, 420) = ( 699 x 420 ) / 97860

GCD(699, 420) = 293580 / 97860

GCD(699, 420) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 1

GCD of 699, 420, 238 is 1

GCD of Numbers Calculation Examples

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FAQs on GCD of numbers 699, 420, 238

1. What is the GCD of 699, 420, 238?

GCD of 699, 420, 238 is 1

2. Where do I get the detailed procedure to find GCD of 699, 420, 238?

You can find a detailed procedure to find GCD of 699, 420, 238 on our page.

3. How to find GCD of 699, 420, 238 on a calculator?

You can find the GCD of 699, 420, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.