GCD of 160, 815, 783, 809 Calculator

Given Input numbers are 160, 815, 783, 809

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

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 160, 815, 783, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 815, 783, 809 is 1.

Therefore, GCD of numbers 160, 815, 783, 809 is 1

Given Input Data is 160, 815, 783, 809

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 815 is 5 x 163

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 809 is 809

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(160, 815) = 26080

GCD(160, 815) = ( 160 x 815 ) / 26080

GCD(160, 815) = 130400 / 26080

GCD(160, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 783

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

LCM(5, 783) = 3915

GCD(5, 783) = ( 5 x 783 ) / 3915

GCD(5, 783) = 3915 / 3915

GCD(5, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 160, 815, 783, 809 is 1

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1. What is the GCD of 160, 815, 783, 809?

GCD of 160, 815, 783, 809 is 1

2. Where do I get the detailed procedure to find GCD of 160, 815, 783, 809?

You can find a detailed procedure to find GCD of 160, 815, 783, 809 on our page.

3. How to find GCD of 160, 815, 783, 809 on a calculator?

You can find the GCD of 160, 815, 783, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.