Where do I get the detailed procedure to find GCD of 117, 438, 300?

You can find a detailed procedure to find GCD of 117, 438, 300 on our page.

How to find GCD of 117, 438, 300 on a calculator?

You can find the GCD of 117, 438, 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 117, 438, 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 117, 438, 300 quickly. Get the easiest ways to solve the greatest common divisor of 117, 438, 300 i.e 3 in different methods as follows.

How to Find GCD of Numbers 117, 438, 300 with Factoring?

Given Input numbers are 117, 438, 300

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 (117, 438, 300) = 3.

Find GCD of 117, 438, 300 using Prime Factorization

Given numbers are 117, 438, 300

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 3¹

Therefore, GCD of 117, 438, 300 is 3.

Steps to Calculate GCD of 117, 438, 300 using LCM Formula

Given numbers are 117, 438, 300

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

Apply this formula for all numbers.

Step1:

LCM(117, 438) = 17082

GCD(117, 438) = ( 117 x 438 ) / 17082

= 117 / 438

= 117

Step2:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 117, 438, 300 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 117, 438, 300

Given numbers are 117, 438, 300
The greatest common divisor of numbers 117, 438, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 438, 300 is 3.

FAQs on GCD of 117, 438, 300 Calculator

1. What is the GCD of 117, 438, 300?

GCD of given numbers 117, 438, 300 is 3

2. How to calculate the greatest common divisor of 117, 438, 300?

We can find the highest common divisor of 117, 438, 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 117, 438, 300 i.e 3.

3. How can I use the GCD of 117, 438, 300Calculator?

Out the numbers 117, 438, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.