Where do I get the detailed procedure to find GCD of 753, 493, 198?

You can find a detailed procedure to find GCD of 753, 493, 198 on our page.

How to find GCD of 753, 493, 198 on a calculator?

You can find the GCD of 753, 493, 198 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 753, 493, 198 Calculator

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

Online GCD Calculator is useful to find the GCD of 753, 493, 198 quickly. Get the easiest ways to solve the greatest common divisor of 753, 493, 198 i.e 1 in different methods as follows.

How to Find GCD of Numbers 753, 493, 198 with Factoring?

Given Input numbers are 753, 493, 198

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

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

GCD of numbers is the greatest common divisor

So, the GCD (753, 493, 198) = 1.

Find GCD of 753, 493, 198 using Prime Factorization

Given numbers are 753, 493, 198

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 493 are 17 x 29

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

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

Steps to Calculate GCD of 753, 493, 198 using LCM Formula

Given numbers are 753, 493, 198

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

Apply this formula for all numbers.

Step1:

LCM(753, 493) = 371229

GCD(753, 493) = ( 753 x 493 ) / 371229

= 753 / 493

= 753

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 753, 493, 198 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 753, 493, 198

Given numbers are 753, 493, 198
The greatest common divisor of numbers 753, 493, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 493, 198 is 1.

FAQs on GCD of 753, 493, 198 Calculator

1. What is the GCD of 753, 493, 198?

GCD of given numbers 753, 493, 198 is 1

2. How to calculate the greatest common divisor of 753, 493, 198?

We can find the highest common divisor of 753, 493, 198 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 753, 493, 198 i.e 1.

3. How can I use the GCD of 753, 493, 198Calculator?

Out the numbers 753, 493, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.