GCD of 150, 545, 184 Calculator

Given Input numbers are 150, 545, 184

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 150, 545, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 545, 184 is 1.

Therefore, GCD of numbers 150, 545, 184 is 1

Given Input Data is 150, 545, 184

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 545 is 5 x 109

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(150, 545) = 16350

GCD(150, 545) = ( 150 x 545 ) / 16350

GCD(150, 545) = 81750 / 16350

GCD(150, 545) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 184

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

LCM(5, 184) = 920

GCD(5, 184) = ( 5 x 184 ) / 920

GCD(5, 184) = 920 / 920

GCD(5, 184) = 1

GCD of 150, 545, 184 is 1

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1. What is the GCD of 150, 545, 184?

GCD of 150, 545, 184 is 1

2. Where do I get the detailed procedure to find GCD of 150, 545, 184?

You can find a detailed procedure to find GCD of 150, 545, 184 on our page.

3. How to find GCD of 150, 545, 184 on a calculator?

You can find the GCD of 150, 545, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.