GCD of 405, 709, 41, 722 Calculator

Given Input numbers are 405, 709, 41, 722

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

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 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 405, 709, 41, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 709, 41, 722 is 1.

Therefore, GCD of numbers 405, 709, 41, 722 is 1

Given Input Data is 405, 709, 41, 722

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

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

Prime Factorization of 709 is 709

Prime Factorization of 41 is 41

Prime Factorization of 722 is 2 x 19 x 19

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(405, 709) = 287145

GCD(405, 709) = ( 405 x 709 ) / 287145

GCD(405, 709) = 287145 / 287145

GCD(405, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 405, 709, 41, 722 is 1

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• GCD of 745, 316, 12, 421
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1. What is the GCD of 405, 709, 41, 722?

GCD of 405, 709, 41, 722 is 1

2. Where do I get the detailed procedure to find GCD of 405, 709, 41, 722?

You can find a detailed procedure to find GCD of 405, 709, 41, 722 on our page.

3. How to find GCD of 405, 709, 41, 722 on a calculator?

You can find the GCD of 405, 709, 41, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.