GCD of 16, 973, 401, 148 Calculator

Given Input numbers are 16, 973, 401, 148

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 973

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

1, 7, 139, 973

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

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 16, 973, 401, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 973, 401, 148 is 1.

Therefore, GCD of numbers 16, 973, 401, 148 is 1

Given Input Data is 16, 973, 401, 148

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 973 is 7 x 139

Prime Factorization of 401 is 401

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(16, 973) = 15568

GCD(16, 973) = ( 16 x 973 ) / 15568

GCD(16, 973) = 15568 / 15568

GCD(16, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 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 16, 973, 401, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 998, 658, 342
• GCD of 81, 531, 262, 372
• GCD of 17, 125, 601, 231
• GCD of 78, 185, 228, 408
• GCD of 42, 542, 252, 310

1. What is the GCD of 16, 973, 401, 148?

GCD of 16, 973, 401, 148 is 1

2. Where do I get the detailed procedure to find GCD of 16, 973, 401, 148?

You can find a detailed procedure to find GCD of 16, 973, 401, 148 on our page.

3. How to find GCD of 16, 973, 401, 148 on a calculator?

You can find the GCD of 16, 973, 401, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.