GCD of 458, 627, 28, 959 Calculator

Given Input numbers are 458, 627, 28, 959

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 458, 627, 28, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 627, 28, 959 is 1.

Therefore, GCD of numbers 458, 627, 28, 959 is 1

Given Input Data is 458, 627, 28, 959

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 959 is 7 x 137

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, 627) = 287166

GCD(458, 627) = ( 458 x 627 ) / 287166

GCD(458, 627) = 287166 / 287166

GCD(458, 627) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

GCD of 458, 627, 28, 959 is 1

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1. What is the GCD of 458, 627, 28, 959?

GCD of 458, 627, 28, 959 is 1

2. Where do I get the detailed procedure to find GCD of 458, 627, 28, 959?

You can find a detailed procedure to find GCD of 458, 627, 28, 959 on our page.

3. How to find GCD of 458, 627, 28, 959 on a calculator?

You can find the GCD of 458, 627, 28, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.