LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 382, 104, 164, 589 Calculator

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


Online GCD Calculator is useful to find the GCD of 382, 104, 164, 589 quickly. Get the easiest ways to solve the greatest common divisor of 382, 104, 164, 589 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 382, 104, 164, 589 with Factoring?

Given Input numbers are 382, 104, 164, 589

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589


GCD of numbers is the greatest common divisor

So, the GCD (382, 104, 164, 589) = 1.

Find GCD of 382, 104, 164, 589 using Prime Factorization

Given numbers are 382, 104, 164, 589

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 164 are 2 x 2 x 41

Prime factors of 589 are 19 x 31

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 382, 104, 164, 589 using LCM Formula

Given numbers are 382, 104, 164, 589

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

Apply this formula for all numbers.

Step1:

LCM(382, 104) = 19864

GCD(382, 104) = ( 382 x 104 ) / 19864

= 382 / 104

= 382


Step2:

LCM(2, 164) = 164

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

= 2 / 164

= 2


Step3:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2


So, Greatest Common Divisor of 382, 104, 164, 589 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 382, 104, 164, 589

Given numbers are 382, 104, 164, 589
The greatest common divisor of numbers 382, 104, 164, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 104, 164, 589 is 1.

FAQs on GCD of 382, 104, 164, 589 Calculator

1. What is the GCD of 382, 104, 164, 589?

GCD of given numbers 382, 104, 164, 589 is 1


2. How to calculate the greatest common divisor of 382, 104, 164, 589?

We can find the highest common divisor of 382, 104, 164, 589 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 382, 104, 164, 589 i.e 1.


3. How can I use the GCD of 382, 104, 164, 589Calculator?

Out the numbers 382, 104, 164, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.