GCD of 26, 51, 68, 75 Calculator

Given Input numbers are 26, 51, 68, 75

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 26, 51, 68, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 51, 68, 75 is 1.

Therefore, GCD of numbers 26, 51, 68, 75 is 1

Given Input Data is 26, 51, 68, 75

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 51 is 3 x 17

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 75 is 3 x 5 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(26, 51) = 1326

GCD(26, 51) = ( 26 x 51 ) / 1326

GCD(26, 51) = 1326 / 1326

GCD(26, 51) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

GCD of 26, 51, 68, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 13, 67, 94
• GCD of 59, 85, 14, 40
• GCD of 15, 54, 55, 19
• GCD of 49, 49, 64, 15
• GCD of 94, 38, 67, 83

1. What is the GCD of 26, 51, 68, 75?

GCD of 26, 51, 68, 75 is 1

2. Where do I get the detailed procedure to find GCD of 26, 51, 68, 75?

You can find a detailed procedure to find GCD of 26, 51, 68, 75 on our page.

3. How to find GCD of 26, 51, 68, 75 on a calculator?

You can find the GCD of 26, 51, 68, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.