GCD of 489, 210, 68, 975 Calculator

Given Input numbers are 489, 210, 68, 975

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

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

Greatest Common Divisior

We found the divisors of 489, 210, 68, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 210, 68, 975 is 1.

Therefore, GCD of numbers 489, 210, 68, 975 is 1

Given Input Data is 489, 210, 68, 975

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 68 is 2 x 2 x 17

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

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(489, 210) = 34230

GCD(489, 210) = ( 489 x 210 ) / 34230

GCD(489, 210) = 102690 / 34230

GCD(489, 210) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 68

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

LCM(3, 68) = 204

GCD(3, 68) = ( 3 x 68 ) / 204

GCD(3, 68) = 204 / 204

GCD(3, 68) = 1

Step3:

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

GCD of 489, 210, 68, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 411, 84, 478
• GCD of 742, 936, 24, 417
• GCD of 805, 420, 70, 216
• GCD of 553, 312, 85, 975
• GCD of 690, 657, 41, 101

1. What is the GCD of 489, 210, 68, 975?

GCD of 489, 210, 68, 975 is 1

2. Where do I get the detailed procedure to find GCD of 489, 210, 68, 975?

You can find a detailed procedure to find GCD of 489, 210, 68, 975 on our page.

3. How to find GCD of 489, 210, 68, 975 on a calculator?

You can find the GCD of 489, 210, 68, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.