GCD of 76, 36, 94, 99 Calculator

Given Input numbers are 76, 36, 94, 99

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Greatest Common Divisior

We found the divisors of 76, 36, 94, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 36, 94, 99 is 1.

Therefore, GCD of numbers 76, 36, 94, 99 is 1

Given Input Data is 76, 36, 94, 99

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 36 is 2 x 2 x 3 x 3

Prime Factorization of 94 is 2 x 47

Prime Factorization of 99 is 3 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(76, 36) = 684

GCD(76, 36) = ( 76 x 36 ) / 684

GCD(76, 36) = 2736 / 684

GCD(76, 36) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 94

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

LCM(4, 94) = 188

GCD(4, 94) = ( 4 x 94 ) / 188

GCD(4, 94) = 376 / 188

GCD(4, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

GCD of 76, 36, 94, 99 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 15, 36, 43
• GCD of 78, 43, 55, 13
• GCD of 32, 82, 72, 62
• GCD of 43, 58, 60, 86
• GCD of 49, 28, 40, 43

1. What is the GCD of 76, 36, 94, 99?

GCD of 76, 36, 94, 99 is 1

2. Where do I get the detailed procedure to find GCD of 76, 36, 94, 99?

You can find a detailed procedure to find GCD of 76, 36, 94, 99 on our page.

3. How to find GCD of 76, 36, 94, 99 on a calculator?

You can find the GCD of 76, 36, 94, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.