Where do I get the detailed procedure to find GCD of 798, 422, 938?

You can find a detailed procedure to find GCD of 798, 422, 938 on our page.

How to find GCD of 798, 422, 938 on a calculator?

You can find the GCD of 798, 422, 938 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 798, 422, 938 Calculator

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

Online GCD Calculator is useful to find the GCD of 798, 422, 938 quickly. Get the easiest ways to solve the greatest common divisor of 798, 422, 938 i.e 2 in different methods as follows.

How to Find GCD of Numbers 798, 422, 938 with Factoring?

Given Input numbers are 798, 422, 938

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (798, 422, 938) = 2.

Find GCD of 798, 422, 938 using Prime Factorization

Given numbers are 798, 422, 938

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 422 are 2 x 211

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 798, 422, 938 is 2.

Steps to Calculate GCD of 798, 422, 938 using LCM Formula

Given numbers are 798, 422, 938

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

Apply this formula for all numbers.

Step1:

LCM(798, 422) = 168378

GCD(798, 422) = ( 798 x 422 ) / 168378

= 798 / 422

= 798

Step2:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 798, 422, 938 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 798, 422, 938

Given numbers are 798, 422, 938
The greatest common divisor of numbers 798, 422, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 422, 938 is 2.

FAQs on GCD of 798, 422, 938 Calculator

1. What is the GCD of 798, 422, 938?

GCD of given numbers 798, 422, 938 is 2

2. How to calculate the greatest common divisor of 798, 422, 938?

We can find the highest common divisor of 798, 422, 938 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 798, 422, 938 i.e 2.

3. How can I use the GCD of 798, 422, 938Calculator?

Out the numbers 798, 422, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.