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GCD of 664, 821, 854, 216 Calculator

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


Online GCD Calculator is useful to find the GCD of 664, 821, 854, 216 quickly. Get the easiest ways to solve the greatest common divisor of 664, 821, 854, 216 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 664, 821, 854, 216 with Factoring?

Given Input numbers are 664, 821, 854, 216

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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


GCD of numbers is the greatest common divisor

So, the GCD (664, 821, 854, 216) = 1.

Find GCD of 664, 821, 854, 216 using Prime Factorization

Given numbers are 664, 821, 854, 216

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 821 are 821

Prime factors of 854 are 2 x 7 x 61

Prime factors of 216 are 2 x 2 x 2 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 664, 821, 854, 216 using LCM Formula

Given numbers are 664, 821, 854, 216

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

Apply this formula for all numbers.

Step1:

LCM(664, 821) = 545144

GCD(664, 821) = ( 664 x 821 ) / 545144

= 664 / 821

= 664


Step2:

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

= 1 / 854

= 1


Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1


So, Greatest Common Divisor of 664, 821, 854, 216 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 664, 821, 854, 216

Given numbers are 664, 821, 854, 216
The greatest common divisor of numbers 664, 821, 854, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 821, 854, 216 is 1.

FAQs on GCD of 664, 821, 854, 216 Calculator

1. What is the GCD of 664, 821, 854, 216?

GCD of given numbers 664, 821, 854, 216 is 1


2. How to calculate the greatest common divisor of 664, 821, 854, 216?

We can find the highest common divisor of 664, 821, 854, 216 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 664, 821, 854, 216 i.e 1.


3. How can I use the GCD of 664, 821, 854, 216Calculator?

Out the numbers 664, 821, 854, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.