GCD of 408, 487, 150, 145 Calculator

Given Input numbers are 408, 487, 150, 145

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 408, 487, 150, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 487, 150, 145 is 1.

Therefore, GCD of numbers 408, 487, 150, 145 is 1

Given Input Data is 408, 487, 150, 145

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 487 is 487

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

Prime Factorization of 145 is 5 x 29

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(408, 487) = 198696

GCD(408, 487) = ( 408 x 487 ) / 198696

GCD(408, 487) = 198696 / 198696

GCD(408, 487) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 408, 487, 150, 145 is 1

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1. What is the GCD of 408, 487, 150, 145?

GCD of 408, 487, 150, 145 is 1

2. Where do I get the detailed procedure to find GCD of 408, 487, 150, 145?

You can find a detailed procedure to find GCD of 408, 487, 150, 145 on our page.

3. How to find GCD of 408, 487, 150, 145 on a calculator?

You can find the GCD of 408, 487, 150, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.