GCD of 891, 848, 819, 159 Calculator

Given Input numbers are 891, 848, 819, 159

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

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 891, 848, 819, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 891, 848, 819, 159 is 1.

Therefore, GCD of numbers 891, 848, 819, 159 is 1

Given Input Data is 891, 848, 819, 159

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 159 is 3 x 53

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(891, 848) = 755568

GCD(891, 848) = ( 891 x 848 ) / 755568

GCD(891, 848) = 755568 / 755568

GCD(891, 848) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 891, 848, 819, 159 is 1

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1. What is the GCD of 891, 848, 819, 159?

GCD of 891, 848, 819, 159 is 1

2. Where do I get the detailed procedure to find GCD of 891, 848, 819, 159?

You can find a detailed procedure to find GCD of 891, 848, 819, 159 on our page.

3. How to find GCD of 891, 848, 819, 159 on a calculator?

You can find the GCD of 891, 848, 819, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.