GCD of 210, 825, 31, 189 Calculator

Given Input numbers are 210, 825, 31, 189

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

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 210, 825, 31, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 825, 31, 189 is 1.

Therefore, GCD of numbers 210, 825, 31, 189 is 1

Given Input Data is 210, 825, 31, 189

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

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 31 is 31

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(210, 825) = 11550

GCD(210, 825) = ( 210 x 825 ) / 11550

GCD(210, 825) = 173250 / 11550

GCD(210, 825) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 31

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

LCM(15, 31) = 465

GCD(15, 31) = ( 15 x 31 ) / 465

GCD(15, 31) = 465 / 465

GCD(15, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 210, 825, 31, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 535, 92, 704
• GCD of 268, 312, 88, 928
• GCD of 962, 279, 30, 585
• GCD of 103, 597, 38, 591
• GCD of 234, 563, 86, 684

1. What is the GCD of 210, 825, 31, 189?

GCD of 210, 825, 31, 189 is 1

2. Where do I get the detailed procedure to find GCD of 210, 825, 31, 189?

You can find a detailed procedure to find GCD of 210, 825, 31, 189 on our page.

3. How to find GCD of 210, 825, 31, 189 on a calculator?

You can find the GCD of 210, 825, 31, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.