Where do I get the detailed procedure to find GCD of 398, 426, 702?

You can find a detailed procedure to find GCD of 398, 426, 702 on our page.

How to find GCD of 398, 426, 702 on a calculator?

You can find the GCD of 398, 426, 702 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 398, 426, 702 Calculator

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

Online GCD Calculator is useful to find the GCD of 398, 426, 702 quickly. Get the easiest ways to solve the greatest common divisor of 398, 426, 702 i.e 2 in different methods as follows.

How to Find GCD of Numbers 398, 426, 702 with Factoring?

Given Input numbers are 398, 426, 702

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (398, 426, 702) = 2.

Find GCD of 398, 426, 702 using Prime Factorization

Given numbers are 398, 426, 702

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 426 are 2 x 3 x 71

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 398, 426, 702 is 2.

Steps to Calculate GCD of 398, 426, 702 using LCM Formula

Given numbers are 398, 426, 702

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

Apply this formula for all numbers.

Step1:

LCM(398, 426) = 84774

GCD(398, 426) = ( 398 x 426 ) / 84774

= 398 / 426

= 398

Step2:

LCM(2, 702) = 702

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

= 2 / 702

= 2

So, Greatest Common Divisor of 398, 426, 702 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 398, 426, 702

Given numbers are 398, 426, 702
The greatest common divisor of numbers 398, 426, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 426, 702 is 2.

FAQs on GCD of 398, 426, 702 Calculator

1. What is the GCD of 398, 426, 702?

GCD of given numbers 398, 426, 702 is 2

2. How to calculate the greatest common divisor of 398, 426, 702?

We can find the highest common divisor of 398, 426, 702 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 398, 426, 702 i.e 2.

3. How can I use the GCD of 398, 426, 702Calculator?

Out the numbers 398, 426, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.