GCD of 243, 690, 83, 725 Calculator

Given Input numbers are 243, 690, 83, 725

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 83

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

1, 83

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 243, 690, 83, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 690, 83, 725 is 1.

Therefore, GCD of numbers 243, 690, 83, 725 is 1

Given Input Data is 243, 690, 83, 725

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 83 is 83

Prime Factorization of 725 is 5 x 5 x 29

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(243, 690) = 55890

GCD(243, 690) = ( 243 x 690 ) / 55890

GCD(243, 690) = 167670 / 55890

GCD(243, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

GCD of 243, 690, 83, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 866, 20, 243
• GCD of 275, 200, 17, 711
• GCD of 223, 854, 90, 887
• GCD of 583, 886, 50, 183
• GCD of 555, 388, 35, 356

1. What is the GCD of 243, 690, 83, 725?

GCD of 243, 690, 83, 725 is 1

2. Where do I get the detailed procedure to find GCD of 243, 690, 83, 725?

You can find a detailed procedure to find GCD of 243, 690, 83, 725 on our page.

3. How to find GCD of 243, 690, 83, 725 on a calculator?

You can find the GCD of 243, 690, 83, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.