GCD of 901, 598, 50, 258 Calculator

Given Input numbers are 901, 598, 50, 258

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 901, 598, 50, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 598, 50, 258 is 1.

Therefore, GCD of numbers 901, 598, 50, 258 is 1

Given Input Data is 901, 598, 50, 258

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 258 is 2 x 3 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(901, 598) = 538798

GCD(901, 598) = ( 901 x 598 ) / 538798

GCD(901, 598) = 538798 / 538798

GCD(901, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 901, 598, 50, 258 is 1

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1. What is the GCD of 901, 598, 50, 258?

GCD of 901, 598, 50, 258 is 1

2. Where do I get the detailed procedure to find GCD of 901, 598, 50, 258?

You can find a detailed procedure to find GCD of 901, 598, 50, 258 on our page.

3. How to find GCD of 901, 598, 50, 258 on a calculator?

You can find the GCD of 901, 598, 50, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.