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GCD of 164, 618, 634, 442 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, 618, 634, 442 quickly. Get the easiest ways to solve the greatest common divisor of 164, 618, 634, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 618, 634, 442 with Factoring?

Given Input numbers are 164, 618, 634, 442

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (164, 618, 634, 442) = 2.

Find GCD of 164, 618, 634, 442 using Prime Factorization

Given numbers are 164, 618, 634, 442

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 618 are 2 x 3 x 103

Prime factors of 634 are 2 x 317

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 164, 618, 634, 442 is 2.

Steps to Calculate GCD of 164, 618, 634, 442 using LCM Formula

Given numbers are 164, 618, 634, 442

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

Apply this formula for all numbers.

Step1:

LCM(164, 618) = 50676

GCD(164, 618) = ( 164 x 618 ) / 50676

= 164 / 618

= 164


Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2


Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2


So, Greatest Common Divisor of 164, 618, 634, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 618, 634, 442

Given numbers are 164, 618, 634, 442
The greatest common divisor of numbers 164, 618, 634, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 618, 634, 442 is 2.

FAQs on GCD of 164, 618, 634, 442 Calculator

1. What is the GCD of 164, 618, 634, 442?

GCD of given numbers 164, 618, 634, 442 is 2


2. How to calculate the greatest common divisor of 164, 618, 634, 442?

We can find the highest common divisor of 164, 618, 634, 442 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, 618, 634, 442 i.e 2.


3. How can I use the GCD of 164, 618, 634, 442Calculator?

Out the numbers 164, 618, 634, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.