GCD of 76, 14, 12, 21 Calculator

Given Input numbers are 76, 14, 12, 21

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 14

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

1, 2, 7, 14

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 21

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

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 76, 14, 12, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 14, 12, 21 is 1.

Therefore, GCD of numbers 76, 14, 12, 21 is 1

Given Input Data is 76, 14, 12, 21

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 21 is 3 x 7

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(76, 14) = 532

GCD(76, 14) = ( 76 x 14 ) / 532

GCD(76, 14) = 1064 / 532

GCD(76, 14) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

GCD of 76, 14, 12, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 75, 27, 38
• GCD of 18, 95, 49, 38
• GCD of 80, 16, 98, 84
• GCD of 84, 29, 38, 42
• GCD of 48, 68, 55, 38

1. What is the GCD of 76, 14, 12, 21?

GCD of 76, 14, 12, 21 is 1

2. Where do I get the detailed procedure to find GCD of 76, 14, 12, 21?

You can find a detailed procedure to find GCD of 76, 14, 12, 21 on our page.

3. How to find GCD of 76, 14, 12, 21 on a calculator?

You can find the GCD of 76, 14, 12, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.