GCD of 713, 565, 639, 814 Calculator

Given Input numbers are 713, 565, 639, 814

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

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 713, 565, 639, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 565, 639, 814 is 1.

Therefore, GCD of numbers 713, 565, 639, 814 is 1

Given Input Data is 713, 565, 639, 814

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 565 is 5 x 113

Prime Factorization of 639 is 3 x 3 x 71

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(713, 565) = 402845

GCD(713, 565) = ( 713 x 565 ) / 402845

GCD(713, 565) = 402845 / 402845

GCD(713, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 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 713, 565, 639, 814 is 1

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1. What is the GCD of 713, 565, 639, 814?

GCD of 713, 565, 639, 814 is 1

2. Where do I get the detailed procedure to find GCD of 713, 565, 639, 814?

You can find a detailed procedure to find GCD of 713, 565, 639, 814 on our page.

3. How to find GCD of 713, 565, 639, 814 on a calculator?

You can find the GCD of 713, 565, 639, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.