GCD of 16, 120, 103, 436 Calculator

Given Input numbers are 16, 120, 103, 436

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 103

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

1, 103

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Greatest Common Divisior

We found the divisors of 16, 120, 103, 436 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 120, 103, 436 is 1.

Therefore, GCD of numbers 16, 120, 103, 436 is 1

Given Input Data is 16, 120, 103, 436

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 103 is 103

Prime Factorization of 436 is 2 x 2 x 109

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(16, 120) = 240

GCD(16, 120) = ( 16 x 120 ) / 240

GCD(16, 120) = 1920 / 240

GCD(16, 120) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 103

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

LCM(8, 103) = 824

GCD(8, 103) = ( 8 x 103 ) / 824

GCD(8, 103) = 824 / 824

GCD(8, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 436

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

LCM(1, 436) = 436

GCD(1, 436) = ( 1 x 436 ) / 436

GCD(1, 436) = 436 / 436

GCD(1, 436) = 1

GCD of 16, 120, 103, 436 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 477, 893, 353
• GCD of 44, 854, 964, 423
• GCD of 10, 743, 270, 706
• GCD of 31, 413, 340, 140
• GCD of 83, 958, 755, 470

1. What is the GCD of 16, 120, 103, 436?

GCD of 16, 120, 103, 436 is 1

2. Where do I get the detailed procedure to find GCD of 16, 120, 103, 436?

You can find a detailed procedure to find GCD of 16, 120, 103, 436 on our page.

3. How to find GCD of 16, 120, 103, 436 on a calculator?

You can find the GCD of 16, 120, 103, 436 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.