GCD of 128, 409, 74, 733 Calculator

Given Input numbers are 128, 409, 74, 733

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

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 128, 409, 74, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 128, 409, 74, 733 is 1.

Therefore, GCD of numbers 128, 409, 74, 733 is 1

Given Input Data is 128, 409, 74, 733

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 409 is 409

Prime Factorization of 74 is 2 x 37

Prime Factorization of 733 is 733

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(128, 409) = 52352

GCD(128, 409) = ( 128 x 409 ) / 52352

GCD(128, 409) = 52352 / 52352

GCD(128, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 128, 409, 74, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 618, 31, 322
• GCD of 751, 994, 98, 729
• GCD of 325, 164, 80, 728
• GCD of 543, 899, 32, 246
• GCD of 134, 883, 53, 648

1. What is the GCD of 128, 409, 74, 733?

GCD of 128, 409, 74, 733 is 1

2. Where do I get the detailed procedure to find GCD of 128, 409, 74, 733?

You can find a detailed procedure to find GCD of 128, 409, 74, 733 on our page.

3. How to find GCD of 128, 409, 74, 733 on a calculator?

You can find the GCD of 128, 409, 74, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.