GCD of 210, 390, 83, 207 Calculator

Given Input numbers are 210, 390, 83, 207

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 210, 390, 83, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 390, 83, 207 is 1.

Therefore, GCD of numbers 210, 390, 83, 207 is 1

Given Input Data is 210, 390, 83, 207

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 390 is 2 x 3 x 5 x 13

Prime Factorization of 83 is 83

Prime Factorization of 207 is 3 x 3 x 23

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, 390) = 2730

GCD(210, 390) = ( 210 x 390 ) / 2730

GCD(210, 390) = 81900 / 2730

GCD(210, 390) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 83

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

LCM(30, 83) = 2490

GCD(30, 83) = ( 30 x 83 ) / 2490

GCD(30, 83) = 2490 / 2490

GCD(30, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 210, 390, 83, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 859, 49, 886
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• GCD of 789, 305, 30, 437

1. What is the GCD of 210, 390, 83, 207?

GCD of 210, 390, 83, 207 is 1

2. Where do I get the detailed procedure to find GCD of 210, 390, 83, 207?

You can find a detailed procedure to find GCD of 210, 390, 83, 207 on our page.

3. How to find GCD of 210, 390, 83, 207 on a calculator?

You can find the GCD of 210, 390, 83, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.