GCD of 112, 606, 17, 120 Calculator

Given Input numbers are 112, 606, 17, 120

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 112, 606, 17, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 606, 17, 120 is 1.

Therefore, GCD of numbers 112, 606, 17, 120 is 1

Given Input Data is 112, 606, 17, 120

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 17 is 17

Prime Factorization of 120 is 2 x 2 x 2 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(112, 606) = 33936

GCD(112, 606) = ( 112 x 606 ) / 33936

GCD(112, 606) = 67872 / 33936

GCD(112, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 112, 606, 17, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 745, 21, 416
• GCD of 673, 111, 75, 305
• GCD of 585, 731, 61, 173
• GCD of 847, 943, 18, 162
• GCD of 355, 584, 43, 720

1. What is the GCD of 112, 606, 17, 120?

GCD of 112, 606, 17, 120 is 1

2. Where do I get the detailed procedure to find GCD of 112, 606, 17, 120?

You can find a detailed procedure to find GCD of 112, 606, 17, 120 on our page.

3. How to find GCD of 112, 606, 17, 120 on a calculator?

You can find the GCD of 112, 606, 17, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.