GCD of 84, 8, 43, 72 Calculator

Given Input numbers are 84, 8, 43, 72

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

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 8

List of positive integer divisors of 8 that divides 8 without a remainder.

1, 2, 4, 8

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Greatest Common Divisior

We found the divisors of 84, 8, 43, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 8, 43, 72 is 1.

Therefore, GCD of numbers 84, 8, 43, 72 is 1

Given Input Data is 84, 8, 43, 72

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

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

Prime Factorization of 8 is 2 x 2 x 2

Prime Factorization of 43 is 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(84, 8) = 168

GCD(84, 8) = ( 84 x 8 ) / 168

GCD(84, 8) = 672 / 168

GCD(84, 8) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 43

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

LCM(4, 43) = 172

GCD(4, 43) = ( 4 x 43 ) / 172

GCD(4, 43) = 172 / 172

GCD(4, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

GCD of 84, 8, 43, 72 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 3, 35, 24
• GCD of 41, 9, 11, 10
• GCD of 97, 7, 69, 14
• GCD of 96, 5, 83, 90
• GCD of 29, 2, 92, 91

1. What is the GCD of 84, 8, 43, 72?

GCD of 84, 8, 43, 72 is 1

2. Where do I get the detailed procedure to find GCD of 84, 8, 43, 72?

You can find a detailed procedure to find GCD of 84, 8, 43, 72 on our page.

3. How to find GCD of 84, 8, 43, 72 on a calculator?

You can find the GCD of 84, 8, 43, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.