GCD of 259, 935, 558, 142 Calculator

Given Input numbers are 259, 935, 558, 142

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 259, 935, 558, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 935, 558, 142 is 1.

Therefore, GCD of numbers 259, 935, 558, 142 is 1

Given Input Data is 259, 935, 558, 142

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 142 is 2 x 71

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(259, 935) = 242165

GCD(259, 935) = ( 259 x 935 ) / 242165

GCD(259, 935) = 242165 / 242165

GCD(259, 935) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 259, 935, 558, 142 is 1

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1. What is the GCD of 259, 935, 558, 142?

GCD of 259, 935, 558, 142 is 1

2. Where do I get the detailed procedure to find GCD of 259, 935, 558, 142?

You can find a detailed procedure to find GCD of 259, 935, 558, 142 on our page.

3. How to find GCD of 259, 935, 558, 142 on a calculator?

You can find the GCD of 259, 935, 558, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.