GCD of 109, 118, 75, 300 Calculator

Given Input numbers are 109, 118, 75, 300

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 109, 118, 75, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 118, 75, 300 is 1.

Therefore, GCD of numbers 109, 118, 75, 300 is 1

Given Input Data is 109, 118, 75, 300

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

Prime Factorization of 109 is 109

Prime Factorization of 118 is 2 x 59

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 300 is 2 x 2 x 3 x 5 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(109, 118) = 12862

GCD(109, 118) = ( 109 x 118 ) / 12862

GCD(109, 118) = 12862 / 12862

GCD(109, 118) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 109, 118, 75, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 925, 94, 613
• GCD of 941, 971, 39, 120
• GCD of 702, 373, 83, 393
• GCD of 957, 863, 94, 341
• GCD of 204, 832, 75, 749

1. What is the GCD of 109, 118, 75, 300?

GCD of 109, 118, 75, 300 is 1

2. Where do I get the detailed procedure to find GCD of 109, 118, 75, 300?

You can find a detailed procedure to find GCD of 109, 118, 75, 300 on our page.

3. How to find GCD of 109, 118, 75, 300 on a calculator?

You can find the GCD of 109, 118, 75, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.