GCD of 225, 405, 83, 340 Calculator

Given Input numbers are 225, 405, 83, 340

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

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 83

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

1, 83

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

Greatest Common Divisior

We found the divisors of 225, 405, 83, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 405, 83, 340 is 1.

Therefore, GCD of numbers 225, 405, 83, 340 is 1

Given Input Data is 225, 405, 83, 340

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

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 83 is 83

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

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(225, 405) = 2025

GCD(225, 405) = ( 225 x 405 ) / 2025

GCD(225, 405) = 91125 / 2025

GCD(225, 405) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 83

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

LCM(45, 83) = 3735

GCD(45, 83) = ( 45 x 83 ) / 3735

GCD(45, 83) = 3735 / 3735

GCD(45, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 225, 405, 83, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 615, 96, 276
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• GCD of 776, 761, 32, 354
• GCD of 935, 390, 62, 321
• GCD of 412, 179, 61, 368

1. What is the GCD of 225, 405, 83, 340?

GCD of 225, 405, 83, 340 is 1

2. Where do I get the detailed procedure to find GCD of 225, 405, 83, 340?

You can find a detailed procedure to find GCD of 225, 405, 83, 340 on our page.

3. How to find GCD of 225, 405, 83, 340 on a calculator?

You can find the GCD of 225, 405, 83, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.