GCD of 25, 340, 489, 207 Calculator

Given Input numbers are 25, 340, 489, 207

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 489

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

1, 3, 163, 489

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 25, 340, 489, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 340, 489, 207 is 1.

Therefore, GCD of numbers 25, 340, 489, 207 is 1

Given Input Data is 25, 340, 489, 207

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

Prime Factorization of 25 is 5 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 489 is 3 x 163

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(25, 340) = 1700

GCD(25, 340) = ( 25 x 340 ) / 1700

GCD(25, 340) = 8500 / 1700

GCD(25, 340) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 489

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

LCM(5, 489) = 2445

GCD(5, 489) = ( 5 x 489 ) / 2445

GCD(5, 489) = 2445 / 2445

GCD(5, 489) = 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 25, 340, 489, 207 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 574, 699, 528
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• GCD of 67, 791, 188, 464

1. What is the GCD of 25, 340, 489, 207?

GCD of 25, 340, 489, 207 is 1

2. Where do I get the detailed procedure to find GCD of 25, 340, 489, 207?

You can find a detailed procedure to find GCD of 25, 340, 489, 207 on our page.

3. How to find GCD of 25, 340, 489, 207 on a calculator?

You can find the GCD of 25, 340, 489, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.