GCD of 216, 970, 358, 360 Calculator

Given Input numbers are 216, 970, 358, 360

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

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 216, 970, 358, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 970, 358, 360 is 2.

Therefore, GCD of numbers 216, 970, 358, 360 is 2

Given Input Data is 216, 970, 358, 360

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 358 is 2 x 179

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(216, 970) = 104760

GCD(216, 970) = ( 216 x 970 ) / 104760

GCD(216, 970) = 209520 / 104760

GCD(216, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 358

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

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

GCD(2, 358) = 716 / 358

GCD(2, 358) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 216, 970, 358, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 820, 101, 675
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• GCD of 505, 461, 980, 307

1. What is the GCD of 216, 970, 358, 360?

GCD of 216, 970, 358, 360 is 2

2. Where do I get the detailed procedure to find GCD of 216, 970, 358, 360?

You can find a detailed procedure to find GCD of 216, 970, 358, 360 on our page.

3. How to find GCD of 216, 970, 358, 360 on a calculator?

You can find the GCD of 216, 970, 358, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.