GCD of 20, 842, 680, 851 Calculator

Given Input numbers are 20, 842, 680, 851

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 20, 842, 680, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 842, 680, 851 is 1.

Therefore, GCD of numbers 20, 842, 680, 851 is 1

Given Input Data is 20, 842, 680, 851

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 842 is 2 x 421

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 851 is 23 x 37

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, 842) = 8420

GCD(20, 842) = ( 20 x 842 ) / 8420

GCD(20, 842) = 16840 / 8420

GCD(20, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

GCD of 20, 842, 680, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 921, 314, 214
• GCD of 33, 867, 940, 395
• GCD of 44, 791, 594, 101
• GCD of 77, 608, 712, 607
• GCD of 64, 236, 353, 967

1. What is the GCD of 20, 842, 680, 851?

GCD of 20, 842, 680, 851 is 1

2. Where do I get the detailed procedure to find GCD of 20, 842, 680, 851?

You can find a detailed procedure to find GCD of 20, 842, 680, 851 on our page.

3. How to find GCD of 20, 842, 680, 851 on a calculator?

You can find the GCD of 20, 842, 680, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.