GCD of 816, 305, 97, 148 Calculator

Given Input numbers are 816, 305, 97, 148

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

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 305

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

1, 5, 61, 305

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 816, 305, 97, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 816, 305, 97, 148 is 1.

Therefore, GCD of numbers 816, 305, 97, 148 is 1

Given Input Data is 816, 305, 97, 148

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

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 305 is 5 x 61

Prime Factorization of 97 is 97

Prime Factorization of 148 is 2 x 2 x 37

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(816, 305) = 248880

GCD(816, 305) = ( 816 x 305 ) / 248880

GCD(816, 305) = 248880 / 248880

GCD(816, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 816, 305, 97, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 349, 22, 707
• GCD of 598, 371, 54, 885
• GCD of 873, 453, 44, 611
• GCD of 927, 541, 74, 625
• GCD of 723, 352, 20, 207

1. What is the GCD of 816, 305, 97, 148?

GCD of 816, 305, 97, 148 is 1

2. Where do I get the detailed procedure to find GCD of 816, 305, 97, 148?

You can find a detailed procedure to find GCD of 816, 305, 97, 148 on our page.

3. How to find GCD of 816, 305, 97, 148 on a calculator?

You can find the GCD of 816, 305, 97, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.