GCD of 78, 308, 897, 973 Calculator

Given Input numbers are 78, 308, 897, 973

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 78, 308, 897, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 308, 897, 973 is 1.

Therefore, GCD of numbers 78, 308, 897, 973 is 1

Given Input Data is 78, 308, 897, 973

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 973 is 7 x 139

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(78, 308) = 12012

GCD(78, 308) = ( 78 x 308 ) / 12012

GCD(78, 308) = 24024 / 12012

GCD(78, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

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

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 78, 308, 897, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 523, 193, 299
• GCD of 30, 682, 918, 665
• GCD of 50, 526, 967, 676
• GCD of 62, 817, 531, 776
• GCD of 10, 339, 805, 200

1. What is the GCD of 78, 308, 897, 973?

GCD of 78, 308, 897, 973 is 1

2. Where do I get the detailed procedure to find GCD of 78, 308, 897, 973?

You can find a detailed procedure to find GCD of 78, 308, 897, 973 on our page.

3. How to find GCD of 78, 308, 897, 973 on a calculator?

You can find the GCD of 78, 308, 897, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.