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GCD of 22, 18, 42, 66 Calculator

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


Online GCD Calculator is useful to find the GCD of 22, 18, 42, 66 quickly. Get the easiest ways to solve the greatest common divisor of 22, 18, 42, 66 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 22, 18, 42, 66 with Factoring?

Given Input numbers are 22, 18, 42, 66

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

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66


GCD of numbers is the greatest common divisor

So, the GCD (22, 18, 42, 66) = 2.

Find GCD of 22, 18, 42, 66 using Prime Factorization

Given numbers are 22, 18, 42, 66

The list of prime factors of all numbers are

Prime factors of 22 are 2 x 11

Prime factors of 18 are 2 x 3 x 3

Prime factors of 42 are 2 x 3 x 7

Prime factors of 66 are 2 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 22, 18, 42, 66 is 2.

Steps to Calculate GCD of 22, 18, 42, 66 using LCM Formula

Given numbers are 22, 18, 42, 66

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

Apply this formula for all numbers.

Step1:

LCM(22, 18) = 198

GCD(22, 18) = ( 22 x 18 ) / 198

= 22 / 18

= 22


Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2


Step3:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2


So, Greatest Common Divisor of 22, 18, 42, 66 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 22, 18, 42, 66

Given numbers are 22, 18, 42, 66
The greatest common divisor of numbers 22, 18, 42, 66 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 22, 18, 42, 66 is 2.

FAQs on GCD of 22, 18, 42, 66 Calculator

1. What is the GCD of 22, 18, 42, 66?

GCD of given numbers 22, 18, 42, 66 is 2


2. How to calculate the greatest common divisor of 22, 18, 42, 66?

We can find the highest common divisor of 22, 18, 42, 66 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 22, 18, 42, 66 i.e 2.


3. How can I use the GCD of 22, 18, 42, 66Calculator?

Out the numbers 22, 18, 42, 66 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.