GCD of 459, 150, 48, 103 Calculator

Given Input numbers are 459, 150, 48, 103

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

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 459, 150, 48, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 150, 48, 103 is 1.

Therefore, GCD of numbers 459, 150, 48, 103 is 1

Given Input Data is 459, 150, 48, 103

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 103 is 103

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(459, 150) = 22950

GCD(459, 150) = ( 459 x 150 ) / 22950

GCD(459, 150) = 68850 / 22950

GCD(459, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

GCD of 459, 150, 48, 103 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 538, 78, 706
• GCD of 831, 216, 64, 368
• GCD of 571, 832, 45, 813
• GCD of 757, 915, 54, 545
• GCD of 777, 446, 13, 287

1. What is the GCD of 459, 150, 48, 103?

GCD of 459, 150, 48, 103 is 1

2. Where do I get the detailed procedure to find GCD of 459, 150, 48, 103?

You can find a detailed procedure to find GCD of 459, 150, 48, 103 on our page.

3. How to find GCD of 459, 150, 48, 103 on a calculator?

You can find the GCD of 459, 150, 48, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.