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GCD of 216, 310, 363, 857 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, 310, 363, 857 quickly. Get the easiest ways to solve the greatest common divisor of 216, 310, 363, 857 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 310, 363, 857 with Factoring?

Given Input numbers are 216, 310, 363, 857

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857


GCD of numbers is the greatest common divisor

So, the GCD (216, 310, 363, 857) = 1.

Find GCD of 216, 310, 363, 857 using Prime Factorization

Given numbers are 216, 310, 363, 857

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 310 are 2 x 5 x 31

Prime factors of 363 are 3 x 11 x 11

Prime factors of 857 are 857

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

Steps to Calculate GCD of 216, 310, 363, 857 using LCM Formula

Given numbers are 216, 310, 363, 857

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

Apply this formula for all numbers.

Step1:

LCM(216, 310) = 33480

GCD(216, 310) = ( 216 x 310 ) / 33480

= 216 / 310

= 216


Step2:

LCM(2, 363) = 726

GCD(2, 363) = ( 2 x 363 ) / 726

= 2 / 363

= 2


Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1


So, Greatest Common Divisor of 216, 310, 363, 857 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 310, 363, 857

Given numbers are 216, 310, 363, 857
The greatest common divisor of numbers 216, 310, 363, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 310, 363, 857 is 1.

FAQs on GCD of 216, 310, 363, 857 Calculator

1. What is the GCD of 216, 310, 363, 857?

GCD of given numbers 216, 310, 363, 857 is 1


2. How to calculate the greatest common divisor of 216, 310, 363, 857?

We can find the highest common divisor of 216, 310, 363, 857 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, 310, 363, 857 i.e 1.


3. How can I use the GCD of 216, 310, 363, 857Calculator?

Out the numbers 216, 310, 363, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.