Where do I get the detailed procedure to find GCD of 792, 198, 374?

You can find a detailed procedure to find GCD of 792, 198, 374 on our page.

How to find GCD of 792, 198, 374 on a calculator?

You can find the GCD of 792, 198, 374 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 792, 198, 374 Calculator

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

Online GCD Calculator is useful to find the GCD of 792, 198, 374 quickly. Get the easiest ways to solve the greatest common divisor of 792, 198, 374 i.e 22 in different methods as follows.

How to Find GCD of Numbers 792, 198, 374 with Factoring?

Given Input numbers are 792, 198, 374

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (792, 198, 374) = 22.

Find GCD of 792, 198, 374 using Prime Factorization

Given numbers are 792, 198, 374

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 11¹ x 2¹

Therefore, GCD of 792, 198, 374 is 22.

Steps to Calculate GCD of 792, 198, 374 using LCM Formula

Given numbers are 792, 198, 374

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

Apply this formula for all numbers.

Step1:

LCM(792, 198) = 792

GCD(792, 198) = ( 792 x 198 ) / 792

= 792 / 198

= 792

Step2:

LCM(198, 374) = 3366

GCD(198, 374) = ( 198 x 374 ) / 3366

= 198 / 374

= 198

So, Greatest Common Divisor of 792, 198, 374 is 22

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 792, 198, 374

Given numbers are 792, 198, 374
The greatest common divisor of numbers 792, 198, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 198, 374 is 22.

FAQs on GCD of 792, 198, 374 Calculator

1. What is the GCD of 792, 198, 374?

GCD of given numbers 792, 198, 374 is 22

2. How to calculate the greatest common divisor of 792, 198, 374?

We can find the highest common divisor of 792, 198, 374 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 792, 198, 374 i.e 22.

3. How can I use the GCD of 792, 198, 374Calculator?

Out the numbers 792, 198, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.