GCD of 405, 160, 21, 781 Calculator

Given Input numbers are 405, 160, 21, 781

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 405, 160, 21, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 160, 21, 781 is 1.

Therefore, GCD of numbers 405, 160, 21, 781 is 1

Given Input Data is 405, 160, 21, 781

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 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 781 is 11 x 71

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, 160) = 12960

GCD(405, 160) = ( 405 x 160 ) / 12960

GCD(405, 160) = 64800 / 12960

GCD(405, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 21

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

LCM(5, 21) = 105

GCD(5, 21) = ( 5 x 21 ) / 105

GCD(5, 21) = 105 / 105

GCD(5, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 405, 160, 21, 781 is 1

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1. What is the GCD of 405, 160, 21, 781?

GCD of 405, 160, 21, 781 is 1

2. Where do I get the detailed procedure to find GCD of 405, 160, 21, 781?

You can find a detailed procedure to find GCD of 405, 160, 21, 781 on our page.

3. How to find GCD of 405, 160, 21, 781 on a calculator?

You can find the GCD of 405, 160, 21, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.