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GCD of 923, 165, 83 Calculator

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


Online GCD Calculator is useful to find the GCD of 923, 165, 83 quickly. Get the easiest ways to solve the greatest common divisor of 923, 165, 83 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 923, 165, 83 with Factoring?

Given Input numbers are 923, 165, 83

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

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 165 :

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

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

Divisors of 83 :

The positive integer divisors of 83 that completely divides 83 are.

1, 83


GCD of numbers is the greatest common divisor

So, the GCD (923, 165, 83) = 1.

Find GCD of 923, 165, 83 using Prime Factorization

Given numbers are 923, 165, 83

The list of prime factors of all numbers are

Prime factors of 923 are 13 x 71

Prime factors of 165 are 3 x 5 x 11

Prime factors of 83 are 83

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

Steps to Calculate GCD of 923, 165, 83 using LCM Formula

Given numbers are 923, 165, 83

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

Apply this formula for all numbers.

Step1:

LCM(923, 165) = 152295

GCD(923, 165) = ( 923 x 165 ) / 152295

= 923 / 165

= 923


Step2:

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

= 1 / 83

= 1


So, Greatest Common Divisor of 923, 165, 83 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 923, 165, 83

Given numbers are 923, 165, 83
The greatest common divisor of numbers 923, 165, 83 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 923, 165, 83 is 1.

FAQs on GCD of 923, 165, 83 Calculator

1. What is the GCD of 923, 165, 83?

GCD of given numbers 923, 165, 83 is 1


2. How to calculate the greatest common divisor of 923, 165, 83?

We can find the highest common divisor of 923, 165, 83 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 923, 165, 83 i.e 1.


3. How can I use the GCD of 923, 165, 83Calculator?

Out the numbers 923, 165, 83 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.