GCD of 31, 516, 490, 814 Calculator

Given Input numbers are 31, 516, 490, 814

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 31, 516, 490, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 516, 490, 814 is 1.

Therefore, GCD of numbers 31, 516, 490, 814 is 1

Given Input Data is 31, 516, 490, 814

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

Prime Factorization of 31 is 31

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 814 is 2 x 11 x 37

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(31, 516) = 15996

GCD(31, 516) = ( 31 x 516 ) / 15996

GCD(31, 516) = 15996 / 15996

GCD(31, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 31, 516, 490, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 962, 627, 430
• GCD of 42, 521, 660, 431
• GCD of 50, 408, 174, 427
• GCD of 78, 292, 791, 652
• GCD of 77, 768, 291, 703

1. What is the GCD of 31, 516, 490, 814?

GCD of 31, 516, 490, 814 is 1

2. Where do I get the detailed procedure to find GCD of 31, 516, 490, 814?

You can find a detailed procedure to find GCD of 31, 516, 490, 814 on our page.

3. How to find GCD of 31, 516, 490, 814 on a calculator?

You can find the GCD of 31, 516, 490, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.