GCD of 390, 436, 269, 869 Calculator

Given Input numbers are 390, 436, 269, 869

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 869

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

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 390, 436, 269, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 436, 269, 869 is 1.

Therefore, GCD of numbers 390, 436, 269, 869 is 1

Given Input Data is 390, 436, 269, 869

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 269 is 269

Prime Factorization of 869 is 11 x 79

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(390, 436) = 85020

GCD(390, 436) = ( 390 x 436 ) / 85020

GCD(390, 436) = 170040 / 85020

GCD(390, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 390, 436, 269, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 932, 439, 579
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• GCD of 986, 568, 270, 216

1. What is the GCD of 390, 436, 269, 869?

GCD of 390, 436, 269, 869 is 1

2. Where do I get the detailed procedure to find GCD of 390, 436, 269, 869?

You can find a detailed procedure to find GCD of 390, 436, 269, 869 on our page.

3. How to find GCD of 390, 436, 269, 869 on a calculator?

You can find the GCD of 390, 436, 269, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.