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GCD of 915, 159, 589, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 915, 159, 589, 164 quickly. Get the easiest ways to solve the greatest common divisor of 915, 159, 589, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 915, 159, 589, 164 with Factoring?

Given Input numbers are 915, 159, 589, 164

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

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 589 :

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

1, 19, 31, 589

Divisors of 164 :

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

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (915, 159, 589, 164) = 1.

Find GCD of 915, 159, 589, 164 using Prime Factorization

Given numbers are 915, 159, 589, 164

The list of prime factors of all numbers are

Prime factors of 915 are 3 x 5 x 61

Prime factors of 159 are 3 x 53

Prime factors of 589 are 19 x 31

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 915, 159, 589, 164 using LCM Formula

Given numbers are 915, 159, 589, 164

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

Apply this formula for all numbers.

Step1:

LCM(915, 159) = 48495

GCD(915, 159) = ( 915 x 159 ) / 48495

= 915 / 159

= 915


Step2:

LCM(3, 589) = 1767

GCD(3, 589) = ( 3 x 589 ) / 1767

= 3 / 589

= 3


Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


So, Greatest Common Divisor of 915, 159, 589, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 915, 159, 589, 164

Given numbers are 915, 159, 589, 164
The greatest common divisor of numbers 915, 159, 589, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 159, 589, 164 is 1.

FAQs on GCD of 915, 159, 589, 164 Calculator

1. What is the GCD of 915, 159, 589, 164?

GCD of given numbers 915, 159, 589, 164 is 1


2. How to calculate the greatest common divisor of 915, 159, 589, 164?

We can find the highest common divisor of 915, 159, 589, 164 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 915, 159, 589, 164 i.e 1.


3. How can I use the GCD of 915, 159, 589, 164Calculator?

Out the numbers 915, 159, 589, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.