GCD of 17, 875, 975, 258 Calculator

Given Input numbers are 17, 875, 975, 258

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 17, 875, 975, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 875, 975, 258 is 1.

Therefore, GCD of numbers 17, 875, 975, 258 is 1

Given Input Data is 17, 875, 975, 258

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

Prime Factorization of 17 is 17

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(17, 875) = 14875

GCD(17, 875) = ( 17 x 875 ) / 14875

GCD(17, 875) = 14875 / 14875

GCD(17, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 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 17, 875, 975, 258 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 818, 998, 822
• GCD of 70, 938, 436, 996
• GCD of 85, 128, 365, 149
• GCD of 60, 799, 175, 980
• GCD of 70, 638, 979, 192

1. What is the GCD of 17, 875, 975, 258?

GCD of 17, 875, 975, 258 is 1

2. Where do I get the detailed procedure to find GCD of 17, 875, 975, 258?

You can find a detailed procedure to find GCD of 17, 875, 975, 258 on our page.

3. How to find GCD of 17, 875, 975, 258 on a calculator?

You can find the GCD of 17, 875, 975, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.