GCD of 230, 771, 690, 805 Calculator

Given Input numbers are 230, 771, 690, 805

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 805

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

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

Greatest Common Divisior

We found the divisors of 230, 771, 690, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 771, 690, 805 is 1.

Therefore, GCD of numbers 230, 771, 690, 805 is 1

Given Input Data is 230, 771, 690, 805

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 771 is 3 x 257

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 805 is 5 x 7 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(230, 771) = 177330

GCD(230, 771) = ( 230 x 771 ) / 177330

GCD(230, 771) = 177330 / 177330

GCD(230, 771) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 230, 771, 690, 805 is 1

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1. What is the GCD of 230, 771, 690, 805?

GCD of 230, 771, 690, 805 is 1

2. Where do I get the detailed procedure to find GCD of 230, 771, 690, 805?

You can find a detailed procedure to find GCD of 230, 771, 690, 805 on our page.

3. How to find GCD of 230, 771, 690, 805 on a calculator?

You can find the GCD of 230, 771, 690, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.