GCD of 80, 216, 970, 756 Calculator

Given Input numbers are 80, 216, 970, 756

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 80, 216, 970, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 216, 970, 756 is 2.

Therefore, GCD of numbers 80, 216, 970, 756 is 2

Given Input Data is 80, 216, 970, 756

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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 756 is 2 x 2 x 3 x 3 x 3 x 7

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(80, 216) = 2160

GCD(80, 216) = ( 80 x 216 ) / 2160

GCD(80, 216) = 17280 / 2160

GCD(80, 216) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 970

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

LCM(8, 970) = 3880

GCD(8, 970) = ( 8 x 970 ) / 3880

GCD(8, 970) = 7760 / 3880

GCD(8, 970) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 2

GCD of 80, 216, 970, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 182, 511, 342
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• GCD of 70, 604, 731, 921

1. What is the GCD of 80, 216, 970, 756?

GCD of 80, 216, 970, 756 is 2

2. Where do I get the detailed procedure to find GCD of 80, 216, 970, 756?

You can find a detailed procedure to find GCD of 80, 216, 970, 756 on our page.

3. How to find GCD of 80, 216, 970, 756 on a calculator?

You can find the GCD of 80, 216, 970, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.