GCD of 15, 76, 41, 17 Calculator

Given Input numbers are 15, 76, 41, 17

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 17

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

1, 17

Greatest Common Divisior

We found the divisors of 15, 76, 41, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 76, 41, 17 is 1.

Therefore, GCD of numbers 15, 76, 41, 17 is 1

Given Input Data is 15, 76, 41, 17

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 41 is 41

Prime Factorization of 17 is 17

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(15, 76) = 1140

GCD(15, 76) = ( 15 x 76 ) / 1140

GCD(15, 76) = 1140 / 1140

GCD(15, 76) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 15, 76, 41, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 77, 10, 83
• GCD of 74, 97, 77, 49
• GCD of 15, 34, 95, 42
• GCD of 77, 25, 78, 85
• GCD of 26, 11, 36, 25

1. What is the GCD of 15, 76, 41, 17?

GCD of 15, 76, 41, 17 is 1

2. Where do I get the detailed procedure to find GCD of 15, 76, 41, 17?

You can find a detailed procedure to find GCD of 15, 76, 41, 17 on our page.

3. How to find GCD of 15, 76, 41, 17 on a calculator?

You can find the GCD of 15, 76, 41, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.