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GCD of 917, 204, 189, 165 Calculator

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


Online GCD Calculator is useful to find the GCD of 917, 204, 189, 165 quickly. Get the easiest ways to solve the greatest common divisor of 917, 204, 189, 165 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 917, 204, 189, 165 with Factoring?

Given Input numbers are 917, 204, 189, 165

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 165 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (917, 204, 189, 165) = 1.

Find GCD of 917, 204, 189, 165 using Prime Factorization

Given numbers are 917, 204, 189, 165

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 165 are 3 x 5 x 11

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

Steps to Calculate GCD of 917, 204, 189, 165 using LCM Formula

Given numbers are 917, 204, 189, 165

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

Apply this formula for all numbers.

Step1:

LCM(917, 204) = 187068

GCD(917, 204) = ( 917 x 204 ) / 187068

= 917 / 204

= 917


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


So, Greatest Common Divisor of 917, 204, 189, 165 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 917, 204, 189, 165

Given numbers are 917, 204, 189, 165
The greatest common divisor of numbers 917, 204, 189, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 204, 189, 165 is 1.

FAQs on GCD of 917, 204, 189, 165 Calculator

1. What is the GCD of 917, 204, 189, 165?

GCD of given numbers 917, 204, 189, 165 is 1


2. How to calculate the greatest common divisor of 917, 204, 189, 165?

We can find the highest common divisor of 917, 204, 189, 165 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 917, 204, 189, 165 i.e 1.


3. How can I use the GCD of 917, 204, 189, 165Calculator?

Out the numbers 917, 204, 189, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.