GCD of 20, 308, 655, 886 Calculator

Given Input numbers are 20, 308, 655, 886

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 886

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

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 20, 308, 655, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 308, 655, 886 is 1.

Therefore, GCD of numbers 20, 308, 655, 886 is 1

Given Input Data is 20, 308, 655, 886

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 655 is 5 x 131

Prime Factorization of 886 is 2 x 443

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(20, 308) = 1540

GCD(20, 308) = ( 20 x 308 ) / 1540

GCD(20, 308) = 6160 / 1540

GCD(20, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 655

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

LCM(4, 655) = 2620

GCD(4, 655) = ( 4 x 655 ) / 2620

GCD(4, 655) = 2620 / 2620

GCD(4, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 20, 308, 655, 886 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 945, 789, 871
• GCD of 70, 700, 743, 739
• GCD of 27, 369, 765, 508
• GCD of 91, 763, 166, 378
• GCD of 49, 123, 184, 357

1. What is the GCD of 20, 308, 655, 886?

GCD of 20, 308, 655, 886 is 1

2. Where do I get the detailed procedure to find GCD of 20, 308, 655, 886?

You can find a detailed procedure to find GCD of 20, 308, 655, 886 on our page.

3. How to find GCD of 20, 308, 655, 886 on a calculator?

You can find the GCD of 20, 308, 655, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.