GCD of 774, 299, 87, 587 Calculator

Given Input numbers are 774, 299, 87, 587

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 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 87

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

1, 3, 29, 87

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Greatest Common Divisior

We found the divisors of 774, 299, 87, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 299, 87, 587 is 1.

Therefore, GCD of numbers 774, 299, 87, 587 is 1

Given Input Data is 774, 299, 87, 587

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 299 is 13 x 23

Prime Factorization of 87 is 3 x 29

Prime Factorization of 587 is 587

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, 299) = 231426

GCD(774, 299) = ( 774 x 299 ) / 231426

GCD(774, 299) = 231426 / 231426

GCD(774, 299) = 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 587

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

LCM(1, 587) = 587

GCD(1, 587) = ( 1 x 587 ) / 587

GCD(1, 587) = 587 / 587

GCD(1, 587) = 1

GCD of 774, 299, 87, 587 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 526, 58, 786
• GCD of 387, 415, 87, 448
• GCD of 906, 522, 52, 267
• GCD of 521, 834, 84, 819
• GCD of 147, 986, 34, 936

1. What is the GCD of 774, 299, 87, 587?

GCD of 774, 299, 87, 587 is 1

2. Where do I get the detailed procedure to find GCD of 774, 299, 87, 587?

You can find a detailed procedure to find GCD of 774, 299, 87, 587 on our page.

3. How to find GCD of 774, 299, 87, 587 on a calculator?

You can find the GCD of 774, 299, 87, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.