GCD of 74, 32, 84, 14 Calculator

Given Input numbers are 74, 32, 84, 14

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 74, 32, 84, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 32, 84, 14 is 2.

Therefore, GCD of numbers 74, 32, 84, 14 is 2

Given Input Data is 74, 32, 84, 14

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 14 is 2 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(74, 32) = 1184

GCD(74, 32) = ( 74 x 32 ) / 1184

GCD(74, 32) = 2368 / 1184

GCD(74, 32) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

GCD of 74, 32, 84, 14 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 71, 72, 65
• GCD of 33, 78, 66, 68
• GCD of 53, 30, 27, 89
• GCD of 97, 76, 35, 76
• GCD of 92, 64, 79, 70

1. What is the GCD of 74, 32, 84, 14?

GCD of 74, 32, 84, 14 is 2

2. Where do I get the detailed procedure to find GCD of 74, 32, 84, 14?

You can find a detailed procedure to find GCD of 74, 32, 84, 14 on our page.

3. How to find GCD of 74, 32, 84, 14 on a calculator?

You can find the GCD of 74, 32, 84, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.