GCD of 26, 16, 11, 59 Calculator

Given Input numbers are 26, 16, 11, 59

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 16

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

1, 2, 4, 8, 16

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Greatest Common Divisior

We found the divisors of 26, 16, 11, 59 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 16, 11, 59 is 1.

Therefore, GCD of numbers 26, 16, 11, 59 is 1

Given Input Data is 26, 16, 11, 59

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

Prime Factorization of 26 is 2 x 13

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

Prime Factorization of 11 is 11

Prime Factorization of 59 is 59

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, 16) = 208

GCD(26, 16) = ( 26 x 16 ) / 208

GCD(26, 16) = 416 / 208

GCD(26, 16) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

GCD of 26, 16, 11, 59 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 96, 66, 92
• GCD of 68, 30, 64, 13
• GCD of 52, 95, 58, 72
• GCD of 11, 99, 17, 28
• GCD of 46, 73, 14, 18

1. What is the GCD of 26, 16, 11, 59?

GCD of 26, 16, 11, 59 is 1

2. Where do I get the detailed procedure to find GCD of 26, 16, 11, 59?

You can find a detailed procedure to find GCD of 26, 16, 11, 59 on our page.

3. How to find GCD of 26, 16, 11, 59 on a calculator?

You can find the GCD of 26, 16, 11, 59 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.