GCD of 254, 518, 59, 458 Calculator

Given Input numbers are 254, 518, 59, 458

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 254, 518, 59, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 518, 59, 458 is 1.

Therefore, GCD of numbers 254, 518, 59, 458 is 1

Given Input Data is 254, 518, 59, 458

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 59 is 59

Prime Factorization of 458 is 2 x 229

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(254, 518) = 65786

GCD(254, 518) = ( 254 x 518 ) / 65786

GCD(254, 518) = 131572 / 65786

GCD(254, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 254, 518, 59, 458 is 1

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1. What is the GCD of 254, 518, 59, 458?

GCD of 254, 518, 59, 458 is 1

2. Where do I get the detailed procedure to find GCD of 254, 518, 59, 458?

You can find a detailed procedure to find GCD of 254, 518, 59, 458 on our page.

3. How to find GCD of 254, 518, 59, 458 on a calculator?

You can find the GCD of 254, 518, 59, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.