GCD of 986, 980, 79, 216 Calculator

Given Input numbers are 986, 980, 79, 216

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

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

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 986, 980, 79, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 980, 79, 216 is 1.

Therefore, GCD of numbers 986, 980, 79, 216 is 1

Given Input Data is 986, 980, 79, 216

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 79 is 79

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(986, 980) = 483140

GCD(986, 980) = ( 986 x 980 ) / 483140

GCD(986, 980) = 966280 / 483140

GCD(986, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

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 986, 980, 79, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 957, 81, 167
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1. What is the GCD of 986, 980, 79, 216?

GCD of 986, 980, 79, 216 is 1

2. Where do I get the detailed procedure to find GCD of 986, 980, 79, 216?

You can find a detailed procedure to find GCD of 986, 980, 79, 216 on our page.

3. How to find GCD of 986, 980, 79, 216 on a calculator?

You can find the GCD of 986, 980, 79, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.