GCD of 16, 352, 102, 135 Calculator

Given Input numbers are 16, 352, 102, 135

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 135

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

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

Greatest Common Divisior

We found the divisors of 16, 352, 102, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 352, 102, 135 is 1.

Therefore, GCD of numbers 16, 352, 102, 135 is 1

Given Input Data is 16, 352, 102, 135

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 135 is 3 x 3 x 3 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, 352) = 352

GCD(16, 352) = ( 16 x 352 ) / 352

GCD(16, 352) = 5632 / 352

GCD(16, 352) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 102

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

LCM(16, 102) = 816

GCD(16, 102) = ( 16 x 102 ) / 816

GCD(16, 102) = 1632 / 816

GCD(16, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 135

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

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

GCD(2, 135) = 270 / 270

GCD(2, 135) = 1

GCD of 16, 352, 102, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 556, 951, 777
• GCD of 53, 972, 868, 513
• GCD of 88, 744, 618, 393
• GCD of 26, 166, 846, 505
• GCD of 21, 107, 345, 809

1. What is the GCD of 16, 352, 102, 135?

GCD of 16, 352, 102, 135 is 1

2. Where do I get the detailed procedure to find GCD of 16, 352, 102, 135?

You can find a detailed procedure to find GCD of 16, 352, 102, 135 on our page.

3. How to find GCD of 16, 352, 102, 135 on a calculator?

You can find the GCD of 16, 352, 102, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.