GCD of 405, 148, 21, 688 Calculator

Given Input numbers are 405, 148, 21, 688

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

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 148

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

1, 2, 4, 37, 74, 148

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 405, 148, 21, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 148, 21, 688 is 1.

Therefore, GCD of numbers 405, 148, 21, 688 is 1

Given Input Data is 405, 148, 21, 688

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

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(405, 148) = 59940

GCD(405, 148) = ( 405 x 148 ) / 59940

GCD(405, 148) = 59940 / 59940

GCD(405, 148) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 405, 148, 21, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 966, 99, 801
• GCD of 420, 961, 13, 745
• GCD of 730, 723, 27, 349
• GCD of 999, 282, 58, 998
• GCD of 287, 861, 46, 220

1. What is the GCD of 405, 148, 21, 688?

GCD of 405, 148, 21, 688 is 1

2. Where do I get the detailed procedure to find GCD of 405, 148, 21, 688?

You can find a detailed procedure to find GCD of 405, 148, 21, 688 on our page.

3. How to find GCD of 405, 148, 21, 688 on a calculator?

You can find the GCD of 405, 148, 21, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.