GCD of 305, 493, 973, 358 Calculator

Given Input numbers are 305, 493, 973, 358

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 493

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

1, 17, 29, 493

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 305, 493, 973, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 493, 973, 358 is 1.

Therefore, GCD of numbers 305, 493, 973, 358 is 1

Given Input Data is 305, 493, 973, 358

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 493 is 17 x 29

Prime Factorization of 973 is 7 x 139

Prime Factorization of 358 is 2 x 179

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(305, 493) = 150365

GCD(305, 493) = ( 305 x 493 ) / 150365

GCD(305, 493) = 150365 / 150365

GCD(305, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 305, 493, 973, 358 is 1

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• GCD of 506, 963, 491, 804
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1. What is the GCD of 305, 493, 973, 358?

GCD of 305, 493, 973, 358 is 1

2. Where do I get the detailed procedure to find GCD of 305, 493, 973, 358?

You can find a detailed procedure to find GCD of 305, 493, 973, 358 on our page.

3. How to find GCD of 305, 493, 973, 358 on a calculator?

You can find the GCD of 305, 493, 973, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.