GCD of 73, 105, 728, 834 Calculator

Given Input numbers are 73, 105, 728, 834

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 73, 105, 728, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 105, 728, 834 is 1.

Therefore, GCD of numbers 73, 105, 728, 834 is 1

Given Input Data is 73, 105, 728, 834

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

Prime Factorization of 73 is 73

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 834 is 2 x 3 x 139

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(73, 105) = 7665

GCD(73, 105) = ( 73 x 105 ) / 7665

GCD(73, 105) = 7665 / 7665

GCD(73, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 73, 105, 728, 834 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 513, 726, 666
• GCD of 39, 304, 819, 821
• GCD of 40, 628, 758, 113
• GCD of 67, 745, 922, 245
• GCD of 93, 779, 444, 991

1. What is the GCD of 73, 105, 728, 834?

GCD of 73, 105, 728, 834 is 1

2. Where do I get the detailed procedure to find GCD of 73, 105, 728, 834?

You can find a detailed procedure to find GCD of 73, 105, 728, 834 on our page.

3. How to find GCD of 73, 105, 728, 834 on a calculator?

You can find the GCD of 73, 105, 728, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.