GCD of 445, 120, 113, 599 Calculator

Given Input numbers are 445, 120, 113, 599

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

Divisors of 445

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

1, 5, 89, 445

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Greatest Common Divisior

We found the divisors of 445, 120, 113, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 120, 113, 599 is 1.

Therefore, GCD of numbers 445, 120, 113, 599 is 1

Given Input Data is 445, 120, 113, 599

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 113 is 113

Prime Factorization of 599 is 599

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(445, 120) = 10680

GCD(445, 120) = ( 445 x 120 ) / 10680

GCD(445, 120) = 53400 / 10680

GCD(445, 120) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 113

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

LCM(5, 113) = 565

GCD(5, 113) = ( 5 x 113 ) / 565

GCD(5, 113) = 565 / 565

GCD(5, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 599

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

LCM(1, 599) = 599

GCD(1, 599) = ( 1 x 599 ) / 599

GCD(1, 599) = 599 / 599

GCD(1, 599) = 1

GCD of 445, 120, 113, 599 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 880, 664, 735
• GCD of 444, 565, 550, 175
• GCD of 808, 125, 686, 226
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• GCD of 399, 606, 522, 585

1. What is the GCD of 445, 120, 113, 599?

GCD of 445, 120, 113, 599 is 1

2. Where do I get the detailed procedure to find GCD of 445, 120, 113, 599?

You can find a detailed procedure to find GCD of 445, 120, 113, 599 on our page.

3. How to find GCD of 445, 120, 113, 599 on a calculator?

You can find the GCD of 445, 120, 113, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.