GCD of 986, 740, 80, 311 Calculator

Given Input numbers are 986, 740, 80, 311

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

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 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 986, 740, 80, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 740, 80, 311 is 1.

Therefore, GCD of numbers 986, 740, 80, 311 is 1

Given Input Data is 986, 740, 80, 311

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 740 is 2 x 2 x 5 x 37

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

Prime Factorization of 311 is 311

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, 740) = 364820

GCD(986, 740) = ( 986 x 740 ) / 364820

GCD(986, 740) = 729640 / 364820

GCD(986, 740) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 986, 740, 80, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 208, 17, 838
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• GCD of 833, 845, 54, 258

1. What is the GCD of 986, 740, 80, 311?

GCD of 986, 740, 80, 311 is 1

2. Where do I get the detailed procedure to find GCD of 986, 740, 80, 311?

You can find a detailed procedure to find GCD of 986, 740, 80, 311 on our page.

3. How to find GCD of 986, 740, 80, 311 on a calculator?

You can find the GCD of 986, 740, 80, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.