Where do I get the detailed procedure to find GCD of 300, 642, 123?

You can find a detailed procedure to find GCD of 300, 642, 123 on our page.

How to find GCD of 300, 642, 123 on a calculator?

You can find the GCD of 300, 642, 123 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 300, 642, 123 Calculator

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

Online GCD Calculator is useful to find the GCD of 300, 642, 123 quickly. Get the easiest ways to solve the greatest common divisor of 300, 642, 123 i.e 3 in different methods as follows.

How to Find GCD of Numbers 300, 642, 123 with Factoring?

Given Input numbers are 300, 642, 123

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

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (300, 642, 123) = 3.

Find GCD of 300, 642, 123 using Prime Factorization

Given numbers are 300, 642, 123

The list of prime factors of all numbers are

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 300, 642, 123 is 3.

Steps to Calculate GCD of 300, 642, 123 using LCM Formula

Given numbers are 300, 642, 123

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

Apply this formula for all numbers.

Step1:

LCM(300, 642) = 32100

GCD(300, 642) = ( 300 x 642 ) / 32100

= 300 / 642

= 300

Step2:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

So, Greatest Common Divisor of 300, 642, 123 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 300, 642, 123

Given numbers are 300, 642, 123
The greatest common divisor of numbers 300, 642, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 642, 123 is 3.

FAQs on GCD of 300, 642, 123 Calculator

1. What is the GCD of 300, 642, 123?

GCD of given numbers 300, 642, 123 is 3

2. How to calculate the greatest common divisor of 300, 642, 123?

We can find the highest common divisor of 300, 642, 123 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 300, 642, 123 i.e 3.

3. How can I use the GCD of 300, 642, 123Calculator?

Out the numbers 300, 642, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.