GCD of 578, 230, 753, 427 Calculator

Given Input numbers are 578, 230, 753, 427

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 578, 230, 753, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 230, 753, 427 is 1.

Therefore, GCD of numbers 578, 230, 753, 427 is 1

Given Input Data is 578, 230, 753, 427

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 230 is 2 x 5 x 23

Prime Factorization of 753 is 3 x 251

Prime Factorization of 427 is 7 x 61

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, 230) = 66470

GCD(578, 230) = ( 578 x 230 ) / 66470

GCD(578, 230) = 132940 / 66470

GCD(578, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 578, 230, 753, 427 is 1

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• GCD of 324, 500, 513, 379
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1. What is the GCD of 578, 230, 753, 427?

GCD of 578, 230, 753, 427 is 1

2. Where do I get the detailed procedure to find GCD of 578, 230, 753, 427?

You can find a detailed procedure to find GCD of 578, 230, 753, 427 on our page.

3. How to find GCD of 578, 230, 753, 427 on a calculator?

You can find the GCD of 578, 230, 753, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.