GCD of 80, 2, 74, 22 Calculator

Given Input numbers are 80, 2, 74, 22

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 2

List of positive integer divisors of 2 that divides 2 without a remainder.

1, 2

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

Greatest Common Divisior

We found the divisors of 80, 2, 74, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 2, 74, 22 is 2.

Therefore, GCD of numbers 80, 2, 74, 22 is 2

Given Input Data is 80, 2, 74, 22

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 2 is 2

Prime Factorization of 74 is 2 x 37

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(80, 2) = 80

GCD(80, 2) = ( 80 x 2 ) / 80

GCD(80, 2) = 160 / 80

GCD(80, 2) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 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 80, 2, 74, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 8, 78, 40
• GCD of 18, 5, 28, 42
• GCD of 60, 3, 25, 71
• GCD of 46, 3, 85, 73
• GCD of 48, 2, 89, 41

1. What is the GCD of 80, 2, 74, 22?

GCD of 80, 2, 74, 22 is 2

2. Where do I get the detailed procedure to find GCD of 80, 2, 74, 22?

You can find a detailed procedure to find GCD of 80, 2, 74, 22 on our page.

3. How to find GCD of 80, 2, 74, 22 on a calculator?

You can find the GCD of 80, 2, 74, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.