GCD of 949, 816, 27, 106 Calculator

Given Input numbers are 949, 816, 27, 106

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 949, 816, 27, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 816, 27, 106 is 1.

Therefore, GCD of numbers 949, 816, 27, 106 is 1

Given Input Data is 949, 816, 27, 106

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 106 is 2 x 53

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(949, 816) = 774384

GCD(949, 816) = ( 949 x 816 ) / 774384

GCD(949, 816) = 774384 / 774384

GCD(949, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 949, 816, 27, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 317, 44, 454
• GCD of 932, 138, 28, 223
• GCD of 601, 575, 36, 422
• GCD of 521, 418, 51, 713
• GCD of 158, 664, 53, 785

1. What is the GCD of 949, 816, 27, 106?

GCD of 949, 816, 27, 106 is 1

2. Where do I get the detailed procedure to find GCD of 949, 816, 27, 106?

You can find a detailed procedure to find GCD of 949, 816, 27, 106 on our page.

3. How to find GCD of 949, 816, 27, 106 on a calculator?

You can find the GCD of 949, 816, 27, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.