Where do I get the detailed procedure to find GCD of 876, 342, 300?

You can find a detailed procedure to find GCD of 876, 342, 300 on our page.

How to find GCD of 876, 342, 300 on a calculator?

You can find the GCD of 876, 342, 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 876, 342, 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 876, 342, 300 quickly. Get the easiest ways to solve the greatest common divisor of 876, 342, 300 i.e 6 in different methods as follows.

How to Find GCD of Numbers 876, 342, 300 with Factoring?

Given Input numbers are 876, 342, 300

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 (876, 342, 300) = 6.

Find GCD of 876, 342, 300 using Prime Factorization

Given numbers are 876, 342, 300

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 342 are 2 x 3 x 3 x 19

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 876, 342, 300 is 6.

Steps to Calculate GCD of 876, 342, 300 using LCM Formula

Given numbers are 876, 342, 300

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

Apply this formula for all numbers.

Step1:

LCM(876, 342) = 49932

GCD(876, 342) = ( 876 x 342 ) / 49932

= 876 / 342

= 876

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

So, Greatest Common Divisor of 876, 342, 300 is 6

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 876, 342, 300

Given numbers are 876, 342, 300
The greatest common divisor of numbers 876, 342, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 342, 300 is 6.

FAQs on GCD of 876, 342, 300 Calculator

1. What is the GCD of 876, 342, 300?

GCD of given numbers 876, 342, 300 is 6

2. How to calculate the greatest common divisor of 876, 342, 300?

We can find the highest common divisor of 876, 342, 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 876, 342, 300 i.e 6.

3. How can I use the GCD of 876, 342, 300Calculator?

Out the numbers 876, 342, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.