GCD of 986, 831, 37, 506 Calculator

Given Input numbers are 986, 831, 37, 506

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 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 986, 831, 37, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 831, 37, 506 is 1.

Therefore, GCD of numbers 986, 831, 37, 506 is 1

Given Input Data is 986, 831, 37, 506

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 831 is 3 x 277

Prime Factorization of 37 is 37

Prime Factorization of 506 is 2 x 11 x 23

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, 831) = 819366

GCD(986, 831) = ( 986 x 831 ) / 819366

GCD(986, 831) = 819366 / 819366

GCD(986, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 986, 831, 37, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 313, 15, 517
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• GCD of 267, 392, 22, 504

1. What is the GCD of 986, 831, 37, 506?

GCD of 986, 831, 37, 506 is 1

2. Where do I get the detailed procedure to find GCD of 986, 831, 37, 506?

You can find a detailed procedure to find GCD of 986, 831, 37, 506 on our page.

3. How to find GCD of 986, 831, 37, 506 on a calculator?

You can find the GCD of 986, 831, 37, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.