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GCD of 438, 165, 834, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 165, 834, 159 quickly. Get the easiest ways to solve the greatest common divisor of 438, 165, 834, 159 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 165, 834, 159 with Factoring?

Given Input numbers are 438, 165, 834, 159

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (438, 165, 834, 159) = 3.

Find GCD of 438, 165, 834, 159 using Prime Factorization

Given numbers are 438, 165, 834, 159

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 165 are 3 x 5 x 11

Prime factors of 834 are 2 x 3 x 139

Prime factors of 159 are 3 x 53

The highest common occurrence is 31

Therefore, GCD of 438, 165, 834, 159 is 3.

Steps to Calculate GCD of 438, 165, 834, 159 using LCM Formula

Given numbers are 438, 165, 834, 159

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

Apply this formula for all numbers.

Step1:

LCM(438, 165) = 24090

GCD(438, 165) = ( 438 x 165 ) / 24090

= 438 / 165

= 438


Step2:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3


Step3:

LCM(3, 159) = 159

GCD(3, 159) = ( 3 x 159 ) / 159

= 3 / 159

= 3


So, Greatest Common Divisor of 438, 165, 834, 159 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 165, 834, 159

Given numbers are 438, 165, 834, 159
The greatest common divisor of numbers 438, 165, 834, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 165, 834, 159 is 3.

FAQs on GCD of 438, 165, 834, 159 Calculator

1. What is the GCD of 438, 165, 834, 159?

GCD of given numbers 438, 165, 834, 159 is 3


2. How to calculate the greatest common divisor of 438, 165, 834, 159?

We can find the highest common divisor of 438, 165, 834, 159 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 438, 165, 834, 159 i.e 3.


3. How can I use the GCD of 438, 165, 834, 159Calculator?

Out the numbers 438, 165, 834, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.