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GCD of 164, 164, 182, 496 Calculator

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


Online GCD Calculator is useful to find the GCD of 164, 164, 182, 496 quickly. Get the easiest ways to solve the greatest common divisor of 164, 164, 182, 496 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 164, 182, 496 with Factoring?

Given Input numbers are 164, 164, 182, 496

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

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496


GCD of numbers is the greatest common divisor

So, the GCD (164, 164, 182, 496) = 2.

Find GCD of 164, 164, 182, 496 using Prime Factorization

Given numbers are 164, 164, 182, 496

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 164 are 2 x 2 x 41

Prime factors of 182 are 2 x 7 x 13

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 21

Therefore, GCD of 164, 164, 182, 496 is 2.

Steps to Calculate GCD of 164, 164, 182, 496 using LCM Formula

Given numbers are 164, 164, 182, 496

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

Apply this formula for all numbers.

Step1:

LCM(164, 164) = 164

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

= 164 / 164

= 164


Step2:

LCM(164, 182) = 14924

GCD(164, 182) = ( 164 x 182 ) / 14924

= 164 / 182

= 164


Step3:

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

= 2 / 496

= 2


So, Greatest Common Divisor of 164, 164, 182, 496 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 164, 182, 496

Given numbers are 164, 164, 182, 496
The greatest common divisor of numbers 164, 164, 182, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 164, 182, 496 is 2.

FAQs on GCD of 164, 164, 182, 496 Calculator

1. What is the GCD of 164, 164, 182, 496?

GCD of given numbers 164, 164, 182, 496 is 2


2. How to calculate the greatest common divisor of 164, 164, 182, 496?

We can find the highest common divisor of 164, 164, 182, 496 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 164, 164, 182, 496 i.e 2.


3. How can I use the GCD of 164, 164, 182, 496Calculator?

Out the numbers 164, 164, 182, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.