GCD of 820, 842, 60, 855 Calculator

Given Input numbers are 820, 842, 60, 855

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 842

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

1, 2, 421, 842

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 820, 842, 60, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 842, 60, 855 is 1.

Therefore, GCD of numbers 820, 842, 60, 855 is 1

Given Input Data is 820, 842, 60, 855

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 842 is 2 x 421

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(820, 842) = 345220

GCD(820, 842) = ( 820 x 842 ) / 345220

GCD(820, 842) = 690440 / 345220

GCD(820, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 855

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

LCM(2, 855) = 1710

GCD(2, 855) = ( 2 x 855 ) / 1710

GCD(2, 855) = 1710 / 1710

GCD(2, 855) = 1

GCD of 820, 842, 60, 855 is 1

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1. What is the GCD of 820, 842, 60, 855?

GCD of 820, 842, 60, 855 is 1

2. Where do I get the detailed procedure to find GCD of 820, 842, 60, 855?

You can find a detailed procedure to find GCD of 820, 842, 60, 855 on our page.

3. How to find GCD of 820, 842, 60, 855 on a calculator?

You can find the GCD of 820, 842, 60, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.