GCD of 185, 480, 508, 150 Calculator

Given Input numbers are 185, 480, 508, 150

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

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

Greatest Common Divisior

We found the divisors of 185, 480, 508, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 480, 508, 150 is 1.

Therefore, GCD of numbers 185, 480, 508, 150 is 1

Given Input Data is 185, 480, 508, 150

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 150 is 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(185, 480) = 17760

GCD(185, 480) = ( 185 x 480 ) / 17760

GCD(185, 480) = 88800 / 17760

GCD(185, 480) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 508

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

LCM(5, 508) = 2540

GCD(5, 508) = ( 5 x 508 ) / 2540

GCD(5, 508) = 2540 / 2540

GCD(5, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 185, 480, 508, 150 is 1

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1. What is the GCD of 185, 480, 508, 150?

GCD of 185, 480, 508, 150 is 1

2. Where do I get the detailed procedure to find GCD of 185, 480, 508, 150?

You can find a detailed procedure to find GCD of 185, 480, 508, 150 on our page.

3. How to find GCD of 185, 480, 508, 150 on a calculator?

You can find the GCD of 185, 480, 508, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.