GCD of 832, 138, 819, 886 Calculator

Given Input numbers are 832, 138, 819, 886

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 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 832, 138, 819, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 138, 819, 886 is 1.

Therefore, GCD of numbers 832, 138, 819, 886 is 1

Given Input Data is 832, 138, 819, 886

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 138 is 2 x 3 x 23

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

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(832, 138) = 57408

GCD(832, 138) = ( 832 x 138 ) / 57408

GCD(832, 138) = 114816 / 57408

GCD(832, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 819

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

LCM(2, 819) = 1638

GCD(2, 819) = ( 2 x 819 ) / 1638

GCD(2, 819) = 1638 / 1638

GCD(2, 819) = 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 832, 138, 819, 886 is 1

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1. What is the GCD of 832, 138, 819, 886?

GCD of 832, 138, 819, 886 is 1

2. Where do I get the detailed procedure to find GCD of 832, 138, 819, 886?

You can find a detailed procedure to find GCD of 832, 138, 819, 886 on our page.

3. How to find GCD of 832, 138, 819, 886 on a calculator?

You can find the GCD of 832, 138, 819, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.