GCD of 788, 590, 235, 457 Calculator

Given Input numbers are 788, 590, 235, 457

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 457

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

1, 457

Greatest Common Divisior

We found the divisors of 788, 590, 235, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 590, 235, 457 is 1.

Therefore, GCD of numbers 788, 590, 235, 457 is 1

Given Input Data is 788, 590, 235, 457

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 235 is 5 x 47

Prime Factorization of 457 is 457

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(788, 590) = 232460

GCD(788, 590) = ( 788 x 590 ) / 232460

GCD(788, 590) = 464920 / 232460

GCD(788, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 235

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

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

GCD(2, 235) = 470 / 470

GCD(2, 235) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 788, 590, 235, 457 is 1

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1. What is the GCD of 788, 590, 235, 457?

GCD of 788, 590, 235, 457 is 1

2. Where do I get the detailed procedure to find GCD of 788, 590, 235, 457?

You can find a detailed procedure to find GCD of 788, 590, 235, 457 on our page.

3. How to find GCD of 788, 590, 235, 457 on a calculator?

You can find the GCD of 788, 590, 235, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.