GCD of 917, 146, 300 Calculator

Given Input numbers are 917, 146, 300

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

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 917, 146, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 146, 300 is 1.

Therefore, GCD of numbers 917, 146, 300 is 1

Given Input Data is 917, 146, 300

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 146 is 2 x 73

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(917, 146) = 133882

GCD(917, 146) = ( 917 x 146 ) / 133882

GCD(917, 146) = 133882 / 133882

GCD(917, 146) = 1

Step2:

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 917, 146, 300 is 1

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1. What is the GCD of 917, 146, 300?

GCD of 917, 146, 300 is 1

2. Where do I get the detailed procedure to find GCD of 917, 146, 300?

You can find a detailed procedure to find GCD of 917, 146, 300 on our page.

3. How to find GCD of 917, 146, 300 on a calculator?

You can find the GCD of 917, 146, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.