GCD of 886, 390, 20, 664 Calculator

Given Input numbers are 886, 390, 20, 664

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 886, 390, 20, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 390, 20, 664 is 2.

Therefore, GCD of numbers 886, 390, 20, 664 is 2

Given Input Data is 886, 390, 20, 664

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

Prime Factorization of 886 is 2 x 443

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 664 is 2 x 2 x 2 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(886, 390) = 172770

GCD(886, 390) = ( 886 x 390 ) / 172770

GCD(886, 390) = 345540 / 172770

GCD(886, 390) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

GCD of 886, 390, 20, 664 is 2

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1. What is the GCD of 886, 390, 20, 664?

GCD of 886, 390, 20, 664 is 2

2. Where do I get the detailed procedure to find GCD of 886, 390, 20, 664?

You can find a detailed procedure to find GCD of 886, 390, 20, 664 on our page.

3. How to find GCD of 886, 390, 20, 664 on a calculator?

You can find the GCD of 886, 390, 20, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.