GCD of 16, 116, 355, 154 Calculator

Given Input numbers are 16, 116, 355, 154

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 16, 116, 355, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 116, 355, 154 is 1.

Therefore, GCD of numbers 16, 116, 355, 154 is 1

Given Input Data is 16, 116, 355, 154

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 116 is 2 x 2 x 29

Prime Factorization of 355 is 5 x 71

Prime Factorization of 154 is 2 x 7 x 11

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, 116) = 464

GCD(16, 116) = ( 16 x 116 ) / 464

GCD(16, 116) = 1856 / 464

GCD(16, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 355

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

LCM(4, 355) = 1420

GCD(4, 355) = ( 4 x 355 ) / 1420

GCD(4, 355) = 1420 / 1420

GCD(4, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 16, 116, 355, 154 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 154, 372, 567
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• GCD of 89, 434, 204, 231
• GCD of 10, 232, 872, 172
• GCD of 72, 482, 985, 938

1. What is the GCD of 16, 116, 355, 154?

GCD of 16, 116, 355, 154 is 1

2. Where do I get the detailed procedure to find GCD of 16, 116, 355, 154?

You can find a detailed procedure to find GCD of 16, 116, 355, 154 on our page.

3. How to find GCD of 16, 116, 355, 154 on a calculator?

You can find the GCD of 16, 116, 355, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.