GCD of 458, 589, 753, 124 Calculator

Given Input numbers are 458, 589, 753, 124

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 753

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

1, 3, 251, 753

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 458, 589, 753, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 589, 753, 124 is 1.

Therefore, GCD of numbers 458, 589, 753, 124 is 1

Given Input Data is 458, 589, 753, 124

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 589 is 19 x 31

Prime Factorization of 753 is 3 x 251

Prime Factorization of 124 is 2 x 2 x 31

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(458, 589) = 269762

GCD(458, 589) = ( 458 x 589 ) / 269762

GCD(458, 589) = 269762 / 269762

GCD(458, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 458, 589, 753, 124 is 1

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1. What is the GCD of 458, 589, 753, 124?

GCD of 458, 589, 753, 124 is 1

2. Where do I get the detailed procedure to find GCD of 458, 589, 753, 124?

You can find a detailed procedure to find GCD of 458, 589, 753, 124 on our page.

3. How to find GCD of 458, 589, 753, 124 on a calculator?

You can find the GCD of 458, 589, 753, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.