GCD of 40, 84, 96, 34 Calculator

Given Input numbers are 40, 84, 96, 34

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

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

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 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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 40, 84, 96, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 84, 96, 34 is 2.

Therefore, GCD of numbers 40, 84, 96, 34 is 2

Given Input Data is 40, 84, 96, 34

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 34 is 2 x 17

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(40, 84) = 840

GCD(40, 84) = ( 40 x 84 ) / 840

GCD(40, 84) = 3360 / 840

GCD(40, 84) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 96

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

LCM(4, 96) = 96

GCD(4, 96) = ( 4 x 96 ) / 96

GCD(4, 96) = 384 / 96

GCD(4, 96) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 34

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

LCM(4, 34) = 68

GCD(4, 34) = ( 4 x 34 ) / 68

GCD(4, 34) = 136 / 68

GCD(4, 34) = 2

GCD of 40, 84, 96, 34 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 66, 35, 44
• GCD of 16, 42, 31, 60
• GCD of 11, 48, 27, 46
• GCD of 94, 75, 36, 18
• GCD of 75, 24, 40, 74

1. What is the GCD of 40, 84, 96, 34?

GCD of 40, 84, 96, 34 is 2

2. Where do I get the detailed procedure to find GCD of 40, 84, 96, 34?

You can find a detailed procedure to find GCD of 40, 84, 96, 34 on our page.

3. How to find GCD of 40, 84, 96, 34 on a calculator?

You can find the GCD of 40, 84, 96, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.