GCD of 696, 783, 31, 813 Calculator

Given Input numbers are 696, 783, 31, 813

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 31

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

1, 31

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Greatest Common Divisior

We found the divisors of 696, 783, 31, 813 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 783, 31, 813 is 1.

Therefore, GCD of numbers 696, 783, 31, 813 is 1

Given Input Data is 696, 783, 31, 813

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 31 is 31

Prime Factorization of 813 is 3 x 271

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(696, 783) = 6264

GCD(696, 783) = ( 696 x 783 ) / 6264

GCD(696, 783) = 544968 / 6264

GCD(696, 783) = 87

Step2:

Here we consider the GCD from the above i.e. 87 as first number and the next as 31

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

LCM(87, 31) = 2697

GCD(87, 31) = ( 87 x 31 ) / 2697

GCD(87, 31) = 2697 / 2697

GCD(87, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

GCD of 696, 783, 31, 813 is 1

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1. What is the GCD of 696, 783, 31, 813?

GCD of 696, 783, 31, 813 is 1

2. Where do I get the detailed procedure to find GCD of 696, 783, 31, 813?

You can find a detailed procedure to find GCD of 696, 783, 31, 813 on our page.

3. How to find GCD of 696, 783, 31, 813 on a calculator?

You can find the GCD of 696, 783, 31, 813 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.