GCD of 363, 864, 80, 352 Calculator

Given Input numbers are 363, 864, 80, 352

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 363, 864, 80, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 864, 80, 352 is 1.

Therefore, GCD of numbers 363, 864, 80, 352 is 1

Given Input Data is 363, 864, 80, 352

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

Prime Factorization of 363 is 3 x 11 x 11

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(363, 864) = 104544

GCD(363, 864) = ( 363 x 864 ) / 104544

GCD(363, 864) = 313632 / 104544

GCD(363, 864) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 80

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

LCM(3, 80) = 240

GCD(3, 80) = ( 3 x 80 ) / 240

GCD(3, 80) = 240 / 240

GCD(3, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 363, 864, 80, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 218, 37, 385
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• GCD of 869, 321, 31, 652
• GCD of 710, 949, 29, 736
• GCD of 980, 148, 16, 201

1. What is the GCD of 363, 864, 80, 352?

GCD of 363, 864, 80, 352 is 1

2. Where do I get the detailed procedure to find GCD of 363, 864, 80, 352?

You can find a detailed procedure to find GCD of 363, 864, 80, 352 on our page.

3. How to find GCD of 363, 864, 80, 352 on a calculator?

You can find the GCD of 363, 864, 80, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.