GCD of 26, 106, 943, 728 Calculator

Given Input numbers are 26, 106, 943, 728

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 106

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

1, 2, 53, 106

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 26, 106, 943, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 106, 943, 728 is 1.

Therefore, GCD of numbers 26, 106, 943, 728 is 1

Given Input Data is 26, 106, 943, 728

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 106 is 2 x 53

Prime Factorization of 943 is 23 x 41

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(26, 106) = 1378

GCD(26, 106) = ( 26 x 106 ) / 1378

GCD(26, 106) = 2756 / 1378

GCD(26, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 943

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

LCM(2, 943) = 1886

GCD(2, 943) = ( 2 x 943 ) / 1886

GCD(2, 943) = 1886 / 1886

GCD(2, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 26, 106, 943, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 912, 874, 331
• GCD of 78, 767, 177, 994
• GCD of 83, 611, 850, 952
• GCD of 14, 137, 639, 941
• GCD of 67, 130, 959, 948

1. What is the GCD of 26, 106, 943, 728?

GCD of 26, 106, 943, 728 is 1

2. Where do I get the detailed procedure to find GCD of 26, 106, 943, 728?

You can find a detailed procedure to find GCD of 26, 106, 943, 728 on our page.

3. How to find GCD of 26, 106, 943, 728 on a calculator?

You can find the GCD of 26, 106, 943, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.