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GCD of 822, 358, 164, 444 Calculator

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


Online GCD Calculator is useful to find the GCD of 822, 358, 164, 444 quickly. Get the easiest ways to solve the greatest common divisor of 822, 358, 164, 444 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 358, 164, 444 with Factoring?

Given Input numbers are 822, 358, 164, 444

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444


GCD of numbers is the greatest common divisor

So, the GCD (822, 358, 164, 444) = 2.

Find GCD of 822, 358, 164, 444 using Prime Factorization

Given numbers are 822, 358, 164, 444

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 358 are 2 x 179

Prime factors of 164 are 2 x 2 x 41

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 822, 358, 164, 444 is 2.

Steps to Calculate GCD of 822, 358, 164, 444 using LCM Formula

Given numbers are 822, 358, 164, 444

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

Apply this formula for all numbers.

Step1:

LCM(822, 358) = 147138

GCD(822, 358) = ( 822 x 358 ) / 147138

= 822 / 358

= 822


Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2


Step3:

LCM(2, 444) = 444

GCD(2, 444) = ( 2 x 444 ) / 444

= 2 / 444

= 2


So, Greatest Common Divisor of 822, 358, 164, 444 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 358, 164, 444

Given numbers are 822, 358, 164, 444
The greatest common divisor of numbers 822, 358, 164, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 358, 164, 444 is 2.

FAQs on GCD of 822, 358, 164, 444 Calculator

1. What is the GCD of 822, 358, 164, 444?

GCD of given numbers 822, 358, 164, 444 is 2


2. How to calculate the greatest common divisor of 822, 358, 164, 444?

We can find the highest common divisor of 822, 358, 164, 444 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 822, 358, 164, 444 i.e 2.


3. How can I use the GCD of 822, 358, 164, 444Calculator?

Out the numbers 822, 358, 164, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.