GCD of 74, 22, 27, 15 Calculator

Given Input numbers are 74, 22, 27, 15

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 22

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

1, 2, 11, 22

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Greatest Common Divisior

We found the divisors of 74, 22, 27, 15 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 22, 27, 15 is 1.

Therefore, GCD of numbers 74, 22, 27, 15 is 1

Given Input Data is 74, 22, 27, 15

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 22 is 2 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 15 is 3 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(74, 22) = 814

GCD(74, 22) = ( 74 x 22 ) / 814

GCD(74, 22) = 1628 / 814

GCD(74, 22) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

GCD of 74, 22, 27, 15 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 88, 61, 69
• GCD of 27, 61, 72, 29
• GCD of 12, 80, 68, 57
• GCD of 10, 75, 92, 81
• GCD of 89, 13, 98, 72

1. What is the GCD of 74, 22, 27, 15?

GCD of 74, 22, 27, 15 is 1

2. Where do I get the detailed procedure to find GCD of 74, 22, 27, 15?

You can find a detailed procedure to find GCD of 74, 22, 27, 15 on our page.

3. How to find GCD of 74, 22, 27, 15 on a calculator?

You can find the GCD of 74, 22, 27, 15 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.