GCD of 629, 458, 269, 558 Calculator

Given Input numbers are 629, 458, 269, 558

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 458

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

1, 2, 229, 458

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 629, 458, 269, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 458, 269, 558 is 1.

Therefore, GCD of numbers 629, 458, 269, 558 is 1

Given Input Data is 629, 458, 269, 558

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 458 is 2 x 229

Prime Factorization of 269 is 269

Prime Factorization of 558 is 2 x 3 x 3 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(629, 458) = 288082

GCD(629, 458) = ( 629 x 458 ) / 288082

GCD(629, 458) = 288082 / 288082

GCD(629, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 629, 458, 269, 558 is 1

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1. What is the GCD of 629, 458, 269, 558?

GCD of 629, 458, 269, 558 is 1

2. Where do I get the detailed procedure to find GCD of 629, 458, 269, 558?

You can find a detailed procedure to find GCD of 629, 458, 269, 558 on our page.

3. How to find GCD of 629, 458, 269, 558 on a calculator?

You can find the GCD of 629, 458, 269, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.