GCD of 774, 271, 87, 230 Calculator

Given Input numbers are 774, 271, 87, 230

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 230

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

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

Greatest Common Divisior

We found the divisors of 774, 271, 87, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 271, 87, 230 is 1.

Therefore, GCD of numbers 774, 271, 87, 230 is 1

Given Input Data is 774, 271, 87, 230

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 271 is 271

Prime Factorization of 87 is 3 x 29

Prime Factorization of 230 is 2 x 5 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(774, 271) = 209754

GCD(774, 271) = ( 774 x 271 ) / 209754

GCD(774, 271) = 209754 / 209754

GCD(774, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 230

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

LCM(1, 230) = 230

GCD(1, 230) = ( 1 x 230 ) / 230

GCD(1, 230) = 230 / 230

GCD(1, 230) = 1

GCD of 774, 271, 87, 230 is 1

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1. What is the GCD of 774, 271, 87, 230?

GCD of 774, 271, 87, 230 is 1

2. Where do I get the detailed procedure to find GCD of 774, 271, 87, 230?

You can find a detailed procedure to find GCD of 774, 271, 87, 230 on our page.

3. How to find GCD of 774, 271, 87, 230 on a calculator?

You can find the GCD of 774, 271, 87, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.