Where do I get the detailed procedure to find GCD of 345, 667, 966?

You can find a detailed procedure to find GCD of 345, 667, 966 on our page.

How to find GCD of 345, 667, 966 on a calculator?

You can find the GCD of 345, 667, 966 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 345, 667, 966 Calculator

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

Online GCD Calculator is useful to find the GCD of 345, 667, 966 quickly. Get the easiest ways to solve the greatest common divisor of 345, 667, 966 i.e 23 in different methods as follows.

How to Find GCD of Numbers 345, 667, 966 with Factoring?

Given Input numbers are 345, 667, 966

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (345, 667, 966) = 23.

Find GCD of 345, 667, 966 using Prime Factorization

Given numbers are 345, 667, 966

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 667 are 23 x 29

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 23¹

Therefore, GCD of 345, 667, 966 is 23.

Steps to Calculate GCD of 345, 667, 966 using LCM Formula

Given numbers are 345, 667, 966

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

Apply this formula for all numbers.

Step1:

LCM(345, 667) = 10005

GCD(345, 667) = ( 345 x 667 ) / 10005

= 345 / 667

= 345

Step2:

LCM(23, 966) = 966

GCD(23, 966) = ( 23 x 966 ) / 966

= 23 / 966

= 23

So, Greatest Common Divisor of 345, 667, 966 is 23

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 345, 667, 966

Given numbers are 345, 667, 966
The greatest common divisor of numbers 345, 667, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 667, 966 is 23.

FAQs on GCD of 345, 667, 966 Calculator

1. What is the GCD of 345, 667, 966?

GCD of given numbers 345, 667, 966 is 23

2. How to calculate the greatest common divisor of 345, 667, 966?

We can find the highest common divisor of 345, 667, 966 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 345, 667, 966 i.e 23.

3. How can I use the GCD of 345, 667, 966Calculator?

Out the numbers 345, 667, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.