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GCD of 217, 311, 162 Calculator

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


Online GCD Calculator is useful to find the GCD of 217, 311, 162 quickly. Get the easiest ways to solve the greatest common divisor of 217, 311, 162 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 217, 311, 162 with Factoring?

Given Input numbers are 217, 311, 162

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162


GCD of numbers is the greatest common divisor

So, the GCD (217, 311, 162) = 1.

Find GCD of 217, 311, 162 using Prime Factorization

Given numbers are 217, 311, 162

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 311 are 311

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 217, 311, 162 using LCM Formula

Given numbers are 217, 311, 162

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

Apply this formula for all numbers.

Step1:

LCM(217, 311) = 67487

GCD(217, 311) = ( 217 x 311 ) / 67487

= 217 / 311

= 217


Step2:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1


So, Greatest Common Divisor of 217, 311, 162 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 217, 311, 162

Given numbers are 217, 311, 162
The greatest common divisor of numbers 217, 311, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 311, 162 is 1.

FAQs on GCD of 217, 311, 162 Calculator

1. What is the GCD of 217, 311, 162?

GCD of given numbers 217, 311, 162 is 1


2. How to calculate the greatest common divisor of 217, 311, 162?

We can find the highest common divisor of 217, 311, 162 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 217, 311, 162 i.e 1.


3. How can I use the GCD of 217, 311, 162Calculator?

Out the numbers 217, 311, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.