GCD of 96, 305, 417, 427 Calculator

Given Input numbers are 96, 305, 417, 427

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 96, 305, 417, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 305, 417, 427 is 1.

Therefore, GCD of numbers 96, 305, 417, 427 is 1

Given Input Data is 96, 305, 417, 427

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 305 is 5 x 61

Prime Factorization of 417 is 3 x 139

Prime Factorization of 427 is 7 x 61

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, 305) = 29280

GCD(96, 305) = ( 96 x 305 ) / 29280

GCD(96, 305) = 29280 / 29280

GCD(96, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 96, 305, 417, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 894, 768, 211
• GCD of 51, 657, 226, 479
• GCD of 76, 364, 461, 812
• GCD of 55, 144, 319, 317
• GCD of 21, 903, 815, 154

1. What is the GCD of 96, 305, 417, 427?

GCD of 96, 305, 417, 427 is 1

2. Where do I get the detailed procedure to find GCD of 96, 305, 417, 427?

You can find a detailed procedure to find GCD of 96, 305, 417, 427 on our page.

3. How to find GCD of 96, 305, 417, 427 on a calculator?

You can find the GCD of 96, 305, 417, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.