GCD of 353, 968, 216 Calculator

Given Input numbers are 353, 968, 216

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

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

Greatest Common Divisior

We found the divisors of 353, 968, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 968, 216 is 1.

Therefore, GCD of numbers 353, 968, 216 is 1

Given Input Data is 353, 968, 216

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 353 is 353

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 216 is 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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(353, 968) = 341704

GCD(353, 968) = ( 353 x 968 ) / 341704

GCD(353, 968) = 341704 / 341704

GCD(353, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 216

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

LCM(1, 216) = 216

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

GCD(1, 216) = 216 / 216

GCD(1, 216) = 1

GCD of 353, 968, 216 is 1

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1. What is the GCD of 353, 968, 216?

GCD of 353, 968, 216 is 1

2. Where do I get the detailed procedure to find GCD of 353, 968, 216?

You can find a detailed procedure to find GCD of 353, 968, 216 on our page.

3. How to find GCD of 353, 968, 216 on a calculator?

You can find the GCD of 353, 968, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.