GCD of 214, 875, 17, 675 Calculator

Given Input numbers are 214, 875, 17, 675

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

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 17

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

1, 17

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 214, 875, 17, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 875, 17, 675 is 1.

Therefore, GCD of numbers 214, 875, 17, 675 is 1

Given Input Data is 214, 875, 17, 675

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

Prime Factorization of 214 is 2 x 107

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

Prime Factorization of 17 is 17

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(214, 875) = 187250

GCD(214, 875) = ( 214 x 875 ) / 187250

GCD(214, 875) = 187250 / 187250

GCD(214, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 214, 875, 17, 675 is 1

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1. What is the GCD of 214, 875, 17, 675?

GCD of 214, 875, 17, 675 is 1

2. Where do I get the detailed procedure to find GCD of 214, 875, 17, 675?

You can find a detailed procedure to find GCD of 214, 875, 17, 675 on our page.

3. How to find GCD of 214, 875, 17, 675 on a calculator?

You can find the GCD of 214, 875, 17, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.