GCD of 151, 366, 300, 539 Calculator

Given Input numbers are 151, 366, 300, 539

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 151, 366, 300, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 366, 300, 539 is 1.

Therefore, GCD of numbers 151, 366, 300, 539 is 1

Given Input Data is 151, 366, 300, 539

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

Prime Factorization of 151 is 151

Prime Factorization of 366 is 2 x 3 x 61

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

Prime Factorization of 539 is 7 x 7 x 11

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(151, 366) = 55266

GCD(151, 366) = ( 151 x 366 ) / 55266

GCD(151, 366) = 55266 / 55266

GCD(151, 366) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 539

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

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

GCD(1, 539) = 539 / 539

GCD(1, 539) = 1

GCD of 151, 366, 300, 539 is 1

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1. What is the GCD of 151, 366, 300, 539?

GCD of 151, 366, 300, 539 is 1

2. Where do I get the detailed procedure to find GCD of 151, 366, 300, 539?

You can find a detailed procedure to find GCD of 151, 366, 300, 539 on our page.

3. How to find GCD of 151, 366, 300, 539 on a calculator?

You can find the GCD of 151, 366, 300, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.