GCD of 493, 931, 73, 742 Calculator

Given Input numbers are 493, 931, 73, 742

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 73

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

1, 73

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 493, 931, 73, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 931, 73, 742 is 1.

Therefore, GCD of numbers 493, 931, 73, 742 is 1

Given Input Data is 493, 931, 73, 742

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 73 is 73

Prime Factorization of 742 is 2 x 7 x 53

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(493, 931) = 458983

GCD(493, 931) = ( 493 x 931 ) / 458983

GCD(493, 931) = 458983 / 458983

GCD(493, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 493, 931, 73, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 883, 72, 163
• GCD of 764, 349, 66, 738
• GCD of 280, 985, 99, 697
• GCD of 127, 966, 70, 920
• GCD of 550, 769, 24, 762

1. What is the GCD of 493, 931, 73, 742?

GCD of 493, 931, 73, 742 is 1

2. Where do I get the detailed procedure to find GCD of 493, 931, 73, 742?

You can find a detailed procedure to find GCD of 493, 931, 73, 742 on our page.

3. How to find GCD of 493, 931, 73, 742 on a calculator?

You can find the GCD of 493, 931, 73, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.