GCD of 84, 99, 43, 34 Calculator

Given Input numbers are 84, 99, 43, 34

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 43

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

1, 43

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 84, 99, 43, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 99, 43, 34 is 1.

Therefore, GCD of numbers 84, 99, 43, 34 is 1

Given Input Data is 84, 99, 43, 34

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 99 is 3 x 3 x 11

Prime Factorization of 43 is 43

Prime Factorization of 34 is 2 x 17

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, 99) = 2772

GCD(84, 99) = ( 84 x 99 ) / 2772

GCD(84, 99) = 8316 / 2772

GCD(84, 99) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 43

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

LCM(3, 43) = 129

GCD(3, 43) = ( 3 x 43 ) / 129

GCD(3, 43) = 129 / 129

GCD(3, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 84, 99, 43, 34 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 10, 42, 60
• GCD of 34, 31, 95, 79
• GCD of 95, 83, 91, 79
• GCD of 66, 96, 60, 83
• GCD of 18, 16, 35, 17

1. What is the GCD of 84, 99, 43, 34?

GCD of 84, 99, 43, 34 is 1

2. Where do I get the detailed procedure to find GCD of 84, 99, 43, 34?

You can find a detailed procedure to find GCD of 84, 99, 43, 34 on our page.

3. How to find GCD of 84, 99, 43, 34 on a calculator?

You can find the GCD of 84, 99, 43, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.