GCD of 864, 721, 783, 161 Calculator

Given Input numbers are 864, 721, 783, 161

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 864, 721, 783, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 721, 783, 161 is 1.

Therefore, GCD of numbers 864, 721, 783, 161 is 1

Given Input Data is 864, 721, 783, 161

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 721 is 7 x 103

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

Prime Factorization of 161 is 7 x 23

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(864, 721) = 622944

GCD(864, 721) = ( 864 x 721 ) / 622944

GCD(864, 721) = 622944 / 622944

GCD(864, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 864, 721, 783, 161 is 1

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1. What is the GCD of 864, 721, 783, 161?

GCD of 864, 721, 783, 161 is 1

2. Where do I get the detailed procedure to find GCD of 864, 721, 783, 161?

You can find a detailed procedure to find GCD of 864, 721, 783, 161 on our page.

3. How to find GCD of 864, 721, 783, 161 on a calculator?

You can find the GCD of 864, 721, 783, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.