GCD of 41, 9, 16, 49 Calculator

Given Input numbers are 41, 9, 16, 49

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

Divisors of 41

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

1, 41

Divisors of 9

List of positive integer divisors of 9 that divides 9 without a remainder.

1, 3, 9

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 41, 9, 16, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 9, 16, 49 is 1.

Therefore, GCD of numbers 41, 9, 16, 49 is 1

Given Input Data is 41, 9, 16, 49

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

Prime Factorization of 41 is 41

Prime Factorization of 9 is 3 x 3

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 49 is 7 x 7

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(41, 9) = 369

GCD(41, 9) = ( 41 x 9 ) / 369

GCD(41, 9) = 369 / 369

GCD(41, 9) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 41, 9, 16, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 8, 55, 34
• GCD of 75, 6, 90, 28
• GCD of 12, 9, 34, 28
• GCD of 10, 3, 24, 52
• GCD of 99, 9, 96, 29

1. What is the GCD of 41, 9, 16, 49?

GCD of 41, 9, 16, 49 is 1

2. Where do I get the detailed procedure to find GCD of 41, 9, 16, 49?

You can find a detailed procedure to find GCD of 41, 9, 16, 49 on our page.

3. How to find GCD of 41, 9, 16, 49 on a calculator?

You can find the GCD of 41, 9, 16, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.