GCD of 353, 145, 33, 864 Calculator

Given Input numbers are 353, 145, 33, 864

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

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

Greatest Common Divisior

We found the divisors of 353, 145, 33, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 145, 33, 864 is 1.

Therefore, GCD of numbers 353, 145, 33, 864 is 1

Given Input Data is 353, 145, 33, 864

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

Prime Factorization of 353 is 353

Prime Factorization of 145 is 5 x 29

Prime Factorization of 33 is 3 x 11

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

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(353, 145) = 51185

GCD(353, 145) = ( 353 x 145 ) / 51185

GCD(353, 145) = 51185 / 51185

GCD(353, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 353, 145, 33, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 416, 60, 887
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• GCD of 487, 168, 16, 785

1. What is the GCD of 353, 145, 33, 864?

GCD of 353, 145, 33, 864 is 1

2. Where do I get the detailed procedure to find GCD of 353, 145, 33, 864?

You can find a detailed procedure to find GCD of 353, 145, 33, 864 on our page.

3. How to find GCD of 353, 145, 33, 864 on a calculator?

You can find the GCD of 353, 145, 33, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.