GCD of 793, 457, 729, 974 Calculator

Given Input numbers are 793, 457, 729, 974

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

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 793, 457, 729, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 793, 457, 729, 974 is 1.

Therefore, GCD of numbers 793, 457, 729, 974 is 1

Given Input Data is 793, 457, 729, 974

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

Prime Factorization of 793 is 13 x 61

Prime Factorization of 457 is 457

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 974 is 2 x 487

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(793, 457) = 362401

GCD(793, 457) = ( 793 x 457 ) / 362401

GCD(793, 457) = 362401 / 362401

GCD(793, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 793, 457, 729, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 353, 328, 947
• GCD of 245, 909, 904, 201
• GCD of 459, 136, 103, 110
• GCD of 845, 791, 793, 534
• GCD of 652, 958, 729, 893

1. What is the GCD of 793, 457, 729, 974?

GCD of 793, 457, 729, 974 is 1

2. Where do I get the detailed procedure to find GCD of 793, 457, 729, 974?

You can find a detailed procedure to find GCD of 793, 457, 729, 974 on our page.

3. How to find GCD of 793, 457, 729, 974 on a calculator?

You can find the GCD of 793, 457, 729, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.