GCD of 26, 84, 42, 22 Calculator

Given Input numbers are 26, 84, 42, 22

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 26, 84, 42, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 84, 42, 22 is 2.

Therefore, GCD of numbers 26, 84, 42, 22 is 2

Given Input Data is 26, 84, 42, 22

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 22 is 2 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 84) = 1092

GCD(26, 84) = ( 26 x 84 ) / 1092

GCD(26, 84) = 2184 / 1092

GCD(26, 84) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

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

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

GCD of 26, 84, 42, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 62, 77, 78
• GCD of 61, 63, 37, 72
• GCD of 83, 69, 35, 57
• GCD of 86, 84, 86, 58
• GCD of 88, 35, 98, 88

1. What is the GCD of 26, 84, 42, 22?

GCD of 26, 84, 42, 22 is 2

2. Where do I get the detailed procedure to find GCD of 26, 84, 42, 22?

You can find a detailed procedure to find GCD of 26, 84, 42, 22 on our page.

3. How to find GCD of 26, 84, 42, 22 on a calculator?

You can find the GCD of 26, 84, 42, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.