GCD of 89, 286, 445, 360 Calculator

Given Input numbers are 89, 286, 445, 360

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

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

Greatest Common Divisior

We found the divisors of 89, 286, 445, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 286, 445, 360 is 1.

Therefore, GCD of numbers 89, 286, 445, 360 is 1

Given Input Data is 89, 286, 445, 360

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

Prime Factorization of 89 is 89

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 445 is 5 x 89

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

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(89, 286) = 25454

GCD(89, 286) = ( 89 x 286 ) / 25454

GCD(89, 286) = 25454 / 25454

GCD(89, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 89, 286, 445, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 350, 795, 469
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• GCD of 92, 562, 655, 874

1. What is the GCD of 89, 286, 445, 360?

GCD of 89, 286, 445, 360 is 1

2. Where do I get the detailed procedure to find GCD of 89, 286, 445, 360?

You can find a detailed procedure to find GCD of 89, 286, 445, 360 on our page.

3. How to find GCD of 89, 286, 445, 360 on a calculator?

You can find the GCD of 89, 286, 445, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.