GCD of 578, 763, 238 Calculator

Given Input numbers are 578, 763, 238

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 578, 763, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 763, 238 is 1.

Therefore, GCD of numbers 578, 763, 238 is 1

Given Input Data is 578, 763, 238

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 763 is 7 x 109

Prime Factorization of 238 is 2 x 7 x 17

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(578, 763) = 441014

GCD(578, 763) = ( 578 x 763 ) / 441014

GCD(578, 763) = 441014 / 441014

GCD(578, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 578, 763, 238 is 1

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1. What is the GCD of 578, 763, 238?

GCD of 578, 763, 238 is 1

2. Where do I get the detailed procedure to find GCD of 578, 763, 238?

You can find a detailed procedure to find GCD of 578, 763, 238 on our page.

3. How to find GCD of 578, 763, 238 on a calculator?

You can find the GCD of 578, 763, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.