GCD of 819, 832, 140, 115 Calculator

Given Input numbers are 819, 832, 140, 115

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

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 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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 819, 832, 140, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 832, 140, 115 is 1.

Therefore, GCD of numbers 819, 832, 140, 115 is 1

Given Input Data is 819, 832, 140, 115

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

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

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 115 is 5 x 23

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(819, 832) = 52416

GCD(819, 832) = ( 819 x 832 ) / 52416

GCD(819, 832) = 681408 / 52416

GCD(819, 832) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 140

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

LCM(13, 140) = 1820

GCD(13, 140) = ( 13 x 140 ) / 1820

GCD(13, 140) = 1820 / 1820

GCD(13, 140) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 819, 832, 140, 115 is 1

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1. What is the GCD of 819, 832, 140, 115?

GCD of 819, 832, 140, 115 is 1

2. Where do I get the detailed procedure to find GCD of 819, 832, 140, 115?

You can find a detailed procedure to find GCD of 819, 832, 140, 115 on our page.

3. How to find GCD of 819, 832, 140, 115 on a calculator?

You can find the GCD of 819, 832, 140, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.