GCD of 26, 35, 40, 17 Calculator

Given Input numbers are 26, 35, 40, 17

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 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Greatest Common Divisior

We found the divisors of 26, 35, 40, 17 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 35, 40, 17 is 1.

Therefore, GCD of numbers 26, 35, 40, 17 is 1

Given Input Data is 26, 35, 40, 17

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 35 is 5 x 7

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 17 is 17

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, 35) = 910

GCD(26, 35) = ( 26 x 35 ) / 910

GCD(26, 35) = 910 / 910

GCD(26, 35) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

GCD of 26, 35, 40, 17 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 56, 64, 13
• GCD of 17, 84, 62, 29
• GCD of 75, 90, 52, 56
• GCD of 14, 55, 31, 35
• GCD of 97, 44, 90, 72

1. What is the GCD of 26, 35, 40, 17?

GCD of 26, 35, 40, 17 is 1

2. Where do I get the detailed procedure to find GCD of 26, 35, 40, 17?

You can find a detailed procedure to find GCD of 26, 35, 40, 17 on our page.

3. How to find GCD of 26, 35, 40, 17 on a calculator?

You can find the GCD of 26, 35, 40, 17 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.