Where do I get the detailed procedure to find GCD of 867, 543, 699?

You can find a detailed procedure to find GCD of 867, 543, 699 on our page.

How to find GCD of 867, 543, 699 on a calculator?

You can find the GCD of 867, 543, 699 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 867, 543, 699 Calculator

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

Online GCD Calculator is useful to find the GCD of 867, 543, 699 quickly. Get the easiest ways to solve the greatest common divisor of 867, 543, 699 i.e 3 in different methods as follows.

How to Find GCD of Numbers 867, 543, 699 with Factoring?

Given Input numbers are 867, 543, 699

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

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (867, 543, 699) = 3.

Find GCD of 867, 543, 699 using Prime Factorization

Given numbers are 867, 543, 699

The list of prime factors of all numbers are

Prime factors of 867 are 3 x 17 x 17

Prime factors of 543 are 3 x 181

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 867, 543, 699 is 3.

Steps to Calculate GCD of 867, 543, 699 using LCM Formula

Given numbers are 867, 543, 699

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

Apply this formula for all numbers.

Step1:

LCM(867, 543) = 156927

GCD(867, 543) = ( 867 x 543 ) / 156927

= 867 / 543

= 867

Step2:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 867, 543, 699 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 867, 543, 699

Given numbers are 867, 543, 699
The greatest common divisor of numbers 867, 543, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 867, 543, 699 is 3.

FAQs on GCD of 867, 543, 699 Calculator

1. What is the GCD of 867, 543, 699?

GCD of given numbers 867, 543, 699 is 3

2. How to calculate the greatest common divisor of 867, 543, 699?

We can find the highest common divisor of 867, 543, 699 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 867, 543, 699 i.e 3.

3. How can I use the GCD of 867, 543, 699Calculator?

Out the numbers 867, 543, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.