GCD of 76, 90, 89, 84 Calculator

Given Input numbers are 76, 90, 89, 84

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 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 89

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

1, 89

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

Greatest Common Divisior

We found the divisors of 76, 90, 89, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 90, 89, 84 is 1.

Therefore, GCD of numbers 76, 90, 89, 84 is 1

Given Input Data is 76, 90, 89, 84

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 90 is 2 x 3 x 3 x 5

Prime Factorization of 89 is 89

Prime Factorization of 84 is 2 x 2 x 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, 90) = 3420

GCD(76, 90) = ( 76 x 90 ) / 3420

GCD(76, 90) = 6840 / 3420

GCD(76, 90) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 76, 90, 89, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 21, 60, 95
• GCD of 85, 37, 34, 60
• GCD of 33, 99, 69, 33
• GCD of 72, 47, 32, 50
• GCD of 23, 32, 33, 92

1. What is the GCD of 76, 90, 89, 84?

GCD of 76, 90, 89, 84 is 1

2. Where do I get the detailed procedure to find GCD of 76, 90, 89, 84?

You can find a detailed procedure to find GCD of 76, 90, 89, 84 on our page.

3. How to find GCD of 76, 90, 89, 84 on a calculator?

You can find the GCD of 76, 90, 89, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.