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GCD of 216, 963, 460, 117 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, 963, 460, 117 quickly. Get the easiest ways to solve the greatest common divisor of 216, 963, 460, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 963, 460, 117 with Factoring?

Given Input numbers are 216, 963, 460, 117

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 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (216, 963, 460, 117) = 1.

Find GCD of 216, 963, 460, 117 using Prime Factorization

Given numbers are 216, 963, 460, 117

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 963 are 3 x 3 x 107

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 216, 963, 460, 117 using LCM Formula

Given numbers are 216, 963, 460, 117

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

Apply this formula for all numbers.

Step1:

LCM(216, 963) = 23112

GCD(216, 963) = ( 216 x 963 ) / 23112

= 216 / 963

= 216


Step2:

LCM(9, 460) = 4140

GCD(9, 460) = ( 9 x 460 ) / 4140

= 9 / 460

= 9


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 216, 963, 460, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 963, 460, 117

Given numbers are 216, 963, 460, 117
The greatest common divisor of numbers 216, 963, 460, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 963, 460, 117 is 1.

FAQs on GCD of 216, 963, 460, 117 Calculator

1. What is the GCD of 216, 963, 460, 117?

GCD of given numbers 216, 963, 460, 117 is 1


2. How to calculate the greatest common divisor of 216, 963, 460, 117?

We can find the highest common divisor of 216, 963, 460, 117 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, 963, 460, 117 i.e 1.


3. How can I use the GCD of 216, 963, 460, 117Calculator?

Out the numbers 216, 963, 460, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.