GCD of 96, 30, 77, 94 Calculator

Given Input numbers are 96, 30, 77, 94

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 94

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

1, 2, 47, 94

Greatest Common Divisior

We found the divisors of 96, 30, 77, 94 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 30, 77, 94 is 1.

Therefore, GCD of numbers 96, 30, 77, 94 is 1

Given Input Data is 96, 30, 77, 94

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 77 is 7 x 11

Prime Factorization of 94 is 2 x 47

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(96, 30) = 480

GCD(96, 30) = ( 96 x 30 ) / 480

GCD(96, 30) = 2880 / 480

GCD(96, 30) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 77

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

LCM(6, 77) = 462

GCD(6, 77) = ( 6 x 77 ) / 462

GCD(6, 77) = 462 / 462

GCD(6, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 94

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

LCM(1, 94) = 94

GCD(1, 94) = ( 1 x 94 ) / 94

GCD(1, 94) = 94 / 94

GCD(1, 94) = 1

GCD of 96, 30, 77, 94 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 44, 99, 64, 69
• GCD of 38, 43, 89, 57
• GCD of 46, 20, 47, 47
• GCD of 76, 40, 81, 46
• GCD of 93, 59, 27, 54

1. What is the GCD of 96, 30, 77, 94?

GCD of 96, 30, 77, 94 is 1

2. Where do I get the detailed procedure to find GCD of 96, 30, 77, 94?

You can find a detailed procedure to find GCD of 96, 30, 77, 94 on our page.

3. How to find GCD of 96, 30, 77, 94 on a calculator?

You can find the GCD of 96, 30, 77, 94 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.