GCD of 445, 300, 116, 135 Calculator

Given Input numbers are 445, 300, 116, 135

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 445, 300, 116, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 300, 116, 135 is 1.

Therefore, GCD of numbers 445, 300, 116, 135 is 1

Given Input Data is 445, 300, 116, 135

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

Prime Factorization of 445 is 5 x 89

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 135 is 3 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(445, 300) = 26700

GCD(445, 300) = ( 445 x 300 ) / 26700

GCD(445, 300) = 133500 / 26700

GCD(445, 300) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 116

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

LCM(5, 116) = 580

GCD(5, 116) = ( 5 x 116 ) / 580

GCD(5, 116) = 580 / 580

GCD(5, 116) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 445, 300, 116, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 884, 463, 941
• GCD of 499, 721, 862, 950
• GCD of 987, 901, 373, 684
• GCD of 924, 936, 186, 449
• GCD of 243, 932, 579, 754

1. What is the GCD of 445, 300, 116, 135?

GCD of 445, 300, 116, 135 is 1

2. Where do I get the detailed procedure to find GCD of 445, 300, 116, 135?

You can find a detailed procedure to find GCD of 445, 300, 116, 135 on our page.

3. How to find GCD of 445, 300, 116, 135 on a calculator?

You can find the GCD of 445, 300, 116, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.