GCD of 28, 84, 80, 42 Calculator

Given Input numbers are 28, 84, 80, 42

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 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 42

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

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

Greatest Common Divisior

We found the divisors of 28, 84, 80, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 84, 80, 42 is 2.

Therefore, GCD of numbers 28, 84, 80, 42 is 2

Given Input Data is 28, 84, 80, 42

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

Prime Factorization of 28 is 2 x 2 x 7

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

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

Prime Factorization of 42 is 2 x 3 x 7

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(28, 84) = 84

GCD(28, 84) = ( 28 x 84 ) / 84

GCD(28, 84) = 2352 / 84

GCD(28, 84) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 80

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

LCM(28, 80) = 560

GCD(28, 80) = ( 28 x 80 ) / 560

GCD(28, 80) = 2240 / 560

GCD(28, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

GCD of 28, 84, 80, 42 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 51, 71, 84
• GCD of 36, 54, 62, 55
• GCD of 34, 20, 43, 65
• GCD of 31, 33, 85, 80
• GCD of 33, 23, 34, 87

1. What is the GCD of 28, 84, 80, 42?

GCD of 28, 84, 80, 42 is 2

2. Where do I get the detailed procedure to find GCD of 28, 84, 80, 42?

You can find a detailed procedure to find GCD of 28, 84, 80, 42 on our page.

3. How to find GCD of 28, 84, 80, 42 on a calculator?

You can find the GCD of 28, 84, 80, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.