GCD of 14, 54, 74 Calculator

Given Input numbers are 14, 54, 74

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

Divisors of 14

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

1, 2, 7, 14

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 74

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

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 14, 54, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 54, 74 is 2.

Therefore, GCD of numbers 14, 54, 74 is 2

Given Input Data is 14, 54, 74

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 74 is 2 x 37

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(14, 54) = 378

GCD(14, 54) = ( 14 x 54 ) / 378

GCD(14, 54) = 756 / 378

GCD(14, 54) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

GCD of 14, 54, 74 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 37, 70
• GCD of 46, 94, 83
• GCD of 72, 36, 69
• GCD of 42, 93, 11
• GCD of 33, 87, 80

1. What is the GCD of 14, 54, 74?

GCD of 14, 54, 74 is 2

2. Where do I get the detailed procedure to find GCD of 14, 54, 74?

You can find a detailed procedure to find GCD of 14, 54, 74 on our page.

3. How to find GCD of 14, 54, 74 on a calculator?

You can find the GCD of 14, 54, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.