GCD of 41, 86, 36, 21 Calculator

Given Input numbers are 41, 86, 36, 21

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 41, 86, 36, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 86, 36, 21 is 1.

Therefore, GCD of numbers 41, 86, 36, 21 is 1

Given Input Data is 41, 86, 36, 21

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

Prime Factorization of 41 is 41

Prime Factorization of 86 is 2 x 43

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 21 is 3 x 7

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(41, 86) = 3526

GCD(41, 86) = ( 41 x 86 ) / 3526

GCD(41, 86) = 3526 / 3526

GCD(41, 86) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 41, 86, 36, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 19, 92, 40
• GCD of 64, 23, 13, 64
• GCD of 54, 38, 25, 65
• GCD of 71, 99, 45, 64
• GCD of 68, 21, 82, 14

1. What is the GCD of 41, 86, 36, 21?

GCD of 41, 86, 36, 21 is 1

2. Where do I get the detailed procedure to find GCD of 41, 86, 36, 21?

You can find a detailed procedure to find GCD of 41, 86, 36, 21 on our page.

3. How to find GCD of 41, 86, 36, 21 on a calculator?

You can find the GCD of 41, 86, 36, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.