GCD of 813, 105, 637, 832 Calculator

Given Input numbers are 813, 105, 637, 832

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

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

Greatest Common Divisior

We found the divisors of 813, 105, 637, 832 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 105, 637, 832 is 1.

Therefore, GCD of numbers 813, 105, 637, 832 is 1

Given Input Data is 813, 105, 637, 832

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 637 is 7 x 7 x 13

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

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(813, 105) = 28455

GCD(813, 105) = ( 813 x 105 ) / 28455

GCD(813, 105) = 85365 / 28455

GCD(813, 105) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 637

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

LCM(3, 637) = 1911

GCD(3, 637) = ( 3 x 637 ) / 1911

GCD(3, 637) = 1911 / 1911

GCD(3, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

GCD of 813, 105, 637, 832 is 1

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1. What is the GCD of 813, 105, 637, 832?

GCD of 813, 105, 637, 832 is 1

2. Where do I get the detailed procedure to find GCD of 813, 105, 637, 832?

You can find a detailed procedure to find GCD of 813, 105, 637, 832 on our page.

3. How to find GCD of 813, 105, 637, 832 on a calculator?

You can find the GCD of 813, 105, 637, 832 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.