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GCD of 450, 216, 329, 855 Calculator

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


Online GCD Calculator is useful to find the GCD of 450, 216, 329, 855 quickly. Get the easiest ways to solve the greatest common divisor of 450, 216, 329, 855 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 450, 216, 329, 855 with Factoring?

Given Input numbers are 450, 216, 329, 855

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855


GCD of numbers is the greatest common divisor

So, the GCD (450, 216, 329, 855) = 1.

Find GCD of 450, 216, 329, 855 using Prime Factorization

Given numbers are 450, 216, 329, 855

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 329 are 7 x 47

Prime factors of 855 are 3 x 3 x 5 x 19

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

Steps to Calculate GCD of 450, 216, 329, 855 using LCM Formula

Given numbers are 450, 216, 329, 855

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

Apply this formula for all numbers.

Step1:

LCM(450, 216) = 5400

GCD(450, 216) = ( 450 x 216 ) / 5400

= 450 / 216

= 450


Step2:

LCM(18, 329) = 5922

GCD(18, 329) = ( 18 x 329 ) / 5922

= 18 / 329

= 18


Step3:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1


So, Greatest Common Divisor of 450, 216, 329, 855 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 450, 216, 329, 855

Given numbers are 450, 216, 329, 855
The greatest common divisor of numbers 450, 216, 329, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 216, 329, 855 is 1.

FAQs on GCD of 450, 216, 329, 855 Calculator

1. What is the GCD of 450, 216, 329, 855?

GCD of given numbers 450, 216, 329, 855 is 1


2. How to calculate the greatest common divisor of 450, 216, 329, 855?

We can find the highest common divisor of 450, 216, 329, 855 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 450, 216, 329, 855 i.e 1.


3. How can I use the GCD of 450, 216, 329, 855Calculator?

Out the numbers 450, 216, 329, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.