Where do I get the detailed procedure to find GCD of 379, 198, 300?

You can find a detailed procedure to find GCD of 379, 198, 300 on our page.

How to find GCD of 379, 198, 300 on a calculator?

You can find the GCD of 379, 198, 300 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 379, 198, 300 Calculator

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

Online GCD Calculator is useful to find the GCD of 379, 198, 300 quickly. Get the easiest ways to solve the greatest common divisor of 379, 198, 300 i.e 1 in different methods as follows.

How to Find GCD of Numbers 379, 198, 300 with Factoring?

Given Input numbers are 379, 198, 300

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

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

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 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (379, 198, 300) = 1.

Find GCD of 379, 198, 300 using Prime Factorization

Given numbers are 379, 198, 300

The list of prime factors of all numbers are

Prime factors of 379 are 379

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

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Steps to Calculate GCD of 379, 198, 300 using LCM Formula

Given numbers are 379, 198, 300

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

Apply this formula for all numbers.

Step1:

LCM(379, 198) = 75042

GCD(379, 198) = ( 379 x 198 ) / 75042

= 379 / 198

= 379

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 379, 198, 300 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 379, 198, 300

Given numbers are 379, 198, 300
The greatest common divisor of numbers 379, 198, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 379, 198, 300 is 1.

FAQs on GCD of 379, 198, 300 Calculator

1. What is the GCD of 379, 198, 300?

GCD of given numbers 379, 198, 300 is 1

2. How to calculate the greatest common divisor of 379, 198, 300?

We can find the highest common divisor of 379, 198, 300 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 379, 198, 300 i.e 1.

3. How can I use the GCD of 379, 198, 300Calculator?

Out the numbers 379, 198, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.