GCD of 14, 21, 74, 66 Calculator

Given Input numbers are 14, 21, 74, 66

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 74

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

1, 2, 37, 74

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 14, 21, 74, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 21, 74, 66 is 1.

Therefore, GCD of numbers 14, 21, 74, 66 is 1

Given Input Data is 14, 21, 74, 66

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 66 is 2 x 3 x 11

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(14, 21) = 42

GCD(14, 21) = ( 14 x 21 ) / 42

GCD(14, 21) = 294 / 42

GCD(14, 21) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 74

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

LCM(7, 74) = 518

GCD(7, 74) = ( 7 x 74 ) / 518

GCD(7, 74) = 518 / 518

GCD(7, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

GCD of 14, 21, 74, 66 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 51, 92, 85
• GCD of 94, 71, 32, 12
• GCD of 34, 76, 28, 65
• GCD of 75, 48, 36, 52
• GCD of 66, 57, 83, 70

1. What is the GCD of 14, 21, 74, 66?

GCD of 14, 21, 74, 66 is 1

2. Where do I get the detailed procedure to find GCD of 14, 21, 74, 66?

You can find a detailed procedure to find GCD of 14, 21, 74, 66 on our page.

3. How to find GCD of 14, 21, 74, 66 on a calculator?

You can find the GCD of 14, 21, 74, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.