GCD of 84, 78, 89, 14 Calculator

Given Input numbers are 84, 78, 89, 14

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

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 84, 78, 89, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 78, 89, 14 is 1.

Therefore, GCD of numbers 84, 78, 89, 14 is 1

Given Input Data is 84, 78, 89, 14

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

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 89 is 89

Prime Factorization of 14 is 2 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(84, 78) = 1092

GCD(84, 78) = ( 84 x 78 ) / 1092

GCD(84, 78) = 6552 / 1092

GCD(84, 78) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 89

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

LCM(6, 89) = 534

GCD(6, 89) = ( 6 x 89 ) / 534

GCD(6, 89) = 534 / 534

GCD(6, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 84, 78, 89, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 32, 65, 65
• GCD of 93, 76, 90, 88
• GCD of 44, 13, 97, 19
• GCD of 24, 88, 46, 69
• GCD of 55, 23, 66, 12

1. What is the GCD of 84, 78, 89, 14?

GCD of 84, 78, 89, 14 is 1

2. Where do I get the detailed procedure to find GCD of 84, 78, 89, 14?

You can find a detailed procedure to find GCD of 84, 78, 89, 14 on our page.

3. How to find GCD of 84, 78, 89, 14 on a calculator?

You can find the GCD of 84, 78, 89, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.