GCD of 390, 193, 491, 742 Calculator

Given Input numbers are 390, 193, 491, 742

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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 390, 193, 491, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 193, 491, 742 is 1.

Therefore, GCD of numbers 390, 193, 491, 742 is 1

Given Input Data is 390, 193, 491, 742

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 193 is 193

Prime Factorization of 491 is 491

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(390, 193) = 75270

GCD(390, 193) = ( 390 x 193 ) / 75270

GCD(390, 193) = 75270 / 75270

GCD(390, 193) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 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 390, 193, 491, 742 is 1

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1. What is the GCD of 390, 193, 491, 742?

GCD of 390, 193, 491, 742 is 1

2. Where do I get the detailed procedure to find GCD of 390, 193, 491, 742?

You can find a detailed procedure to find GCD of 390, 193, 491, 742 on our page.

3. How to find GCD of 390, 193, 491, 742 on a calculator?

You can find the GCD of 390, 193, 491, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.