GCD of 869, 909, 381, 586 Calculator

Given Input numbers are 869, 909, 381, 586

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 869, 909, 381, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 909, 381, 586 is 1.

Therefore, GCD of numbers 869, 909, 381, 586 is 1

Given Input Data is 869, 909, 381, 586

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 381 is 3 x 127

Prime Factorization of 586 is 2 x 293

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(869, 909) = 789921

GCD(869, 909) = ( 869 x 909 ) / 789921

GCD(869, 909) = 789921 / 789921

GCD(869, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 869, 909, 381, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 381, 630, 129
• GCD of 331, 847, 183, 586
• GCD of 971, 440, 893, 762
• GCD of 364, 341, 963, 511
• GCD of 549, 420, 843, 420

1. What is the GCD of 869, 909, 381, 586?

GCD of 869, 909, 381, 586 is 1

2. Where do I get the detailed procedure to find GCD of 869, 909, 381, 586?

You can find a detailed procedure to find GCD of 869, 909, 381, 586 on our page.

3. How to find GCD of 869, 909, 381, 586 on a calculator?

You can find the GCD of 869, 909, 381, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.