Where do I get the detailed procedure to find GCD of 894, 342, 693?

You can find a detailed procedure to find GCD of 894, 342, 693 on our page.

How to find GCD of 894, 342, 693 on a calculator?

You can find the GCD of 894, 342, 693 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 894, 342, 693 Calculator

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

Online GCD Calculator is useful to find the GCD of 894, 342, 693 quickly. Get the easiest ways to solve the greatest common divisor of 894, 342, 693 i.e 3 in different methods as follows.

How to Find GCD of Numbers 894, 342, 693 with Factoring?

Given Input numbers are 894, 342, 693

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

GCD of numbers is the greatest common divisor

So, the GCD (894, 342, 693) = 3.

Find GCD of 894, 342, 693 using Prime Factorization

Given numbers are 894, 342, 693

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

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

Prime factors of 693 are 3 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 894, 342, 693 is 3.

Steps to Calculate GCD of 894, 342, 693 using LCM Formula

Given numbers are 894, 342, 693

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

Apply this formula for all numbers.

Step1:

LCM(894, 342) = 50958

GCD(894, 342) = ( 894 x 342 ) / 50958

= 894 / 342

= 894

Step2:

LCM(6, 693) = 1386

GCD(6, 693) = ( 6 x 693 ) / 1386

= 6 / 693

= 6

So, Greatest Common Divisor of 894, 342, 693 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 894, 342, 693

Given numbers are 894, 342, 693
The greatest common divisor of numbers 894, 342, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 342, 693 is 3.

FAQs on GCD of 894, 342, 693 Calculator

1. What is the GCD of 894, 342, 693?

GCD of given numbers 894, 342, 693 is 3

2. How to calculate the greatest common divisor of 894, 342, 693?

We can find the highest common divisor of 894, 342, 693 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 894, 342, 693 i.e 3.

3. How can I use the GCD of 894, 342, 693Calculator?

Out the numbers 894, 342, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.