GCD of 159, 375, 300 Calculator

Given Input numbers are 159, 375, 300

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

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 159, 375, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 375, 300 is 3.

Therefore, GCD of numbers 159, 375, 300 is 3

Given Input Data is 159, 375, 300

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 375 is 3 x 5 x 5 x 5

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(159, 375) = 19875

GCD(159, 375) = ( 159 x 375 ) / 19875

GCD(159, 375) = 59625 / 19875

GCD(159, 375) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 300

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

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

GCD(3, 300) = 900 / 300

GCD(3, 300) = 3

GCD of 159, 375, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 417, 916
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1. What is the GCD of 159, 375, 300?

GCD of 159, 375, 300 is 3

2. Where do I get the detailed procedure to find GCD of 159, 375, 300?

You can find a detailed procedure to find GCD of 159, 375, 300 on our page.

3. How to find GCD of 159, 375, 300 on a calculator?

You can find the GCD of 159, 375, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.