GCD of 58, 457, 428, 989 Calculator

Given Input numbers are 58, 457, 428, 989

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 58, 457, 428, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 457, 428, 989 is 1.

Therefore, GCD of numbers 58, 457, 428, 989 is 1

Given Input Data is 58, 457, 428, 989

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 457 is 457

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 989 is 23 x 43

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(58, 457) = 26506

GCD(58, 457) = ( 58 x 457 ) / 26506

GCD(58, 457) = 26506 / 26506

GCD(58, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 58, 457, 428, 989 is 1

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1. What is the GCD of 58, 457, 428, 989?

GCD of 58, 457, 428, 989 is 1

2. Where do I get the detailed procedure to find GCD of 58, 457, 428, 989?

You can find a detailed procedure to find GCD of 58, 457, 428, 989 on our page.

3. How to find GCD of 58, 457, 428, 989 on a calculator?

You can find the GCD of 58, 457, 428, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.