GCD of 258, 404, 35, 989 Calculator

Given Input numbers are 258, 404, 35, 989

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 258, 404, 35, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 404, 35, 989 is 1.

Therefore, GCD of numbers 258, 404, 35, 989 is 1

Given Input Data is 258, 404, 35, 989

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 35 is 5 x 7

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(258, 404) = 52116

GCD(258, 404) = ( 258 x 404 ) / 52116

GCD(258, 404) = 104232 / 52116

GCD(258, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 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 258, 404, 35, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 592, 497, 39, 206
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• GCD of 909, 412, 43, 153
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• GCD of 914, 492, 97, 443

1. What is the GCD of 258, 404, 35, 989?

GCD of 258, 404, 35, 989 is 1

2. Where do I get the detailed procedure to find GCD of 258, 404, 35, 989?

You can find a detailed procedure to find GCD of 258, 404, 35, 989 on our page.

3. How to find GCD of 258, 404, 35, 989 on a calculator?

You can find the GCD of 258, 404, 35, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.