GCD of 16, 135, 626, 100 Calculator

Given Input numbers are 16, 135, 626, 100

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 16, 135, 626, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 135, 626, 100 is 1.

Therefore, GCD of numbers 16, 135, 626, 100 is 1

Given Input Data is 16, 135, 626, 100

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 135 is 3 x 3 x 3 x 5

Prime Factorization of 626 is 2 x 313

Prime Factorization of 100 is 2 x 2 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(16, 135) = 2160

GCD(16, 135) = ( 16 x 135 ) / 2160

GCD(16, 135) = 2160 / 2160

GCD(16, 135) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 16, 135, 626, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 78, 908, 308, 921
• GCD of 31, 620, 785, 183
• GCD of 93, 630, 453, 667
• GCD of 31, 901, 583, 461
• GCD of 64, 709, 704, 595

1. What is the GCD of 16, 135, 626, 100?

GCD of 16, 135, 626, 100 is 1

2. Where do I get the detailed procedure to find GCD of 16, 135, 626, 100?

You can find a detailed procedure to find GCD of 16, 135, 626, 100 on our page.

3. How to find GCD of 16, 135, 626, 100 on a calculator?

You can find the GCD of 16, 135, 626, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.