Where do I get the detailed procedure to find GCD of 222, 138, 969?

You can find a detailed procedure to find GCD of 222, 138, 969 on our page.

How to find GCD of 222, 138, 969 on a calculator?

You can find the GCD of 222, 138, 969 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 222, 138, 969 Calculator

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

Online GCD Calculator is useful to find the GCD of 222, 138, 969 quickly. Get the easiest ways to solve the greatest common divisor of 222, 138, 969 i.e 3 in different methods as follows.

How to Find GCD of Numbers 222, 138, 969 with Factoring?

Given Input numbers are 222, 138, 969

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

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (222, 138, 969) = 3.

Find GCD of 222, 138, 969 using Prime Factorization

Given numbers are 222, 138, 969

The list of prime factors of all numbers are

Prime factors of 222 are 2 x 3 x 37

Prime factors of 138 are 2 x 3 x 23

Prime factors of 969 are 3 x 17 x 19

The highest common occurrence is 3¹

Therefore, GCD of 222, 138, 969 is 3.

Steps to Calculate GCD of 222, 138, 969 using LCM Formula

Given numbers are 222, 138, 969

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

Apply this formula for all numbers.

Step1:

LCM(222, 138) = 5106

GCD(222, 138) = ( 222 x 138 ) / 5106

= 222 / 138

= 222

Step2:

LCM(6, 969) = 1938

GCD(6, 969) = ( 6 x 969 ) / 1938

= 6 / 969

= 6

So, Greatest Common Divisor of 222, 138, 969 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 222, 138, 969

Given numbers are 222, 138, 969
The greatest common divisor of numbers 222, 138, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 138, 969 is 3.

FAQs on GCD of 222, 138, 969 Calculator

1. What is the GCD of 222, 138, 969?

GCD of given numbers 222, 138, 969 is 3

2. How to calculate the greatest common divisor of 222, 138, 969?

We can find the highest common divisor of 222, 138, 969 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 222, 138, 969 i.e 3.

3. How can I use the GCD of 222, 138, 969Calculator?

Out the numbers 222, 138, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.