Where do I get the detailed procedure to find GCD of 259, 693, 399?

You can find a detailed procedure to find GCD of 259, 693, 399 on our page.

How to find GCD of 259, 693, 399 on a calculator?

You can find the GCD of 259, 693, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 259, 693, 399 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 259, 693, 399 quickly. Get the easiest ways to solve the greatest common divisor of 259, 693, 399 i.e 7 in different methods as follows.

How to Find GCD of Numbers 259, 693, 399 with Factoring?

Given Input numbers are 259, 693, 399

In the factoring method, we have to find the divisors of all numbers

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (259, 693, 399) = 7.

Find GCD of 259, 693, 399 using Prime Factorization

Given numbers are 259, 693, 399

The list of prime factors of all numbers are

Prime factors of 259 are 7 x 37

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 259, 693, 399 is 7.

Steps to Calculate GCD of 259, 693, 399 using LCM Formula

Given numbers are 259, 693, 399

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(259, 693) = 25641

GCD(259, 693) = ( 259 x 693 ) / 25641

= 259 / 693

= 259

Step2:

LCM(7, 399) = 399

GCD(7, 399) = ( 7 x 399 ) / 399

= 7 / 399

= 7

So, Greatest Common Divisor of 259, 693, 399 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 259, 693, 399

Given numbers are 259, 693, 399
The greatest common divisor of numbers 259, 693, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 259, 693, 399 is 7.

FAQs on GCD of 259, 693, 399 Calculator

1. What is the GCD of 259, 693, 399?

GCD of given numbers 259, 693, 399 is 7

2. How to calculate the greatest common divisor of 259, 693, 399?

We can find the highest common divisor of 259, 693, 399 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 259, 693, 399 i.e 7.

3. How can I use the GCD of 259, 693, 399Calculator?

Out the numbers 259, 693, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.