GCD of 805, 814, 761, 563 Calculator

Given Input numbers are 805, 814, 761, 563

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 814

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

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 805, 814, 761, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 814, 761, 563 is 1.

Therefore, GCD of numbers 805, 814, 761, 563 is 1

Given Input Data is 805, 814, 761, 563

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 761 is 761

Prime Factorization of 563 is 563

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(805, 814) = 655270

GCD(805, 814) = ( 805 x 814 ) / 655270

GCD(805, 814) = 655270 / 655270

GCD(805, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 805, 814, 761, 563 is 1

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1. What is the GCD of 805, 814, 761, 563?

GCD of 805, 814, 761, 563 is 1

2. Where do I get the detailed procedure to find GCD of 805, 814, 761, 563?

You can find a detailed procedure to find GCD of 805, 814, 761, 563 on our page.

3. How to find GCD of 805, 814, 761, 563 on a calculator?

You can find the GCD of 805, 814, 761, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.