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GCD of 216, 837, 422, 514 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 837, 422, 514 quickly. Get the easiest ways to solve the greatest common divisor of 216, 837, 422, 514 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 837, 422, 514 with Factoring?

Given Input numbers are 216, 837, 422, 514

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514


GCD of numbers is the greatest common divisor

So, the GCD (216, 837, 422, 514) = 1.

Find GCD of 216, 837, 422, 514 using Prime Factorization

Given numbers are 216, 837, 422, 514

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 422 are 2 x 211

Prime factors of 514 are 2 x 257

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

Steps to Calculate GCD of 216, 837, 422, 514 using LCM Formula

Given numbers are 216, 837, 422, 514

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

Apply this formula for all numbers.

Step1:

LCM(216, 837) = 6696

GCD(216, 837) = ( 216 x 837 ) / 6696

= 216 / 837

= 216


Step2:

LCM(27, 422) = 11394

GCD(27, 422) = ( 27 x 422 ) / 11394

= 27 / 422

= 27


Step3:

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

= 1 / 514

= 1


So, Greatest Common Divisor of 216, 837, 422, 514 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 837, 422, 514

Given numbers are 216, 837, 422, 514
The greatest common divisor of numbers 216, 837, 422, 514 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 837, 422, 514 is 1.

FAQs on GCD of 216, 837, 422, 514 Calculator

1. What is the GCD of 216, 837, 422, 514?

GCD of given numbers 216, 837, 422, 514 is 1


2. How to calculate the greatest common divisor of 216, 837, 422, 514?

We can find the highest common divisor of 216, 837, 422, 514 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 216, 837, 422, 514 i.e 1.


3. How can I use the GCD of 216, 837, 422, 514Calculator?

Out the numbers 216, 837, 422, 514 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.