GCD of 360, 352, 133, 389 Calculator

Given Input numbers are 360, 352, 133, 389

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 360, 352, 133, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 352, 133, 389 is 1.

Therefore, GCD of numbers 360, 352, 133, 389 is 1

Given Input Data is 360, 352, 133, 389

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 389 is 389

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(360, 352) = 15840

GCD(360, 352) = ( 360 x 352 ) / 15840

GCD(360, 352) = 126720 / 15840

GCD(360, 352) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 133

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

LCM(8, 133) = 1064

GCD(8, 133) = ( 8 x 133 ) / 1064

GCD(8, 133) = 1064 / 1064

GCD(8, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 360, 352, 133, 389 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 346, 665, 115
• GCD of 448, 927, 992, 563
• GCD of 222, 877, 629, 622
• GCD of 810, 729, 619, 461
• GCD of 304, 273, 412, 321

1. What is the GCD of 360, 352, 133, 389?

GCD of 360, 352, 133, 389 is 1

2. Where do I get the detailed procedure to find GCD of 360, 352, 133, 389?

You can find a detailed procedure to find GCD of 360, 352, 133, 389 on our page.

3. How to find GCD of 360, 352, 133, 389 on a calculator?

You can find the GCD of 360, 352, 133, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.