GCD of 80, 405, 148, 543 Calculator

Given Input numbers are 80, 405, 148, 543

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 80, 405, 148, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 405, 148, 543 is 1.

Therefore, GCD of numbers 80, 405, 148, 543 is 1

Given Input Data is 80, 405, 148, 543

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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 543 is 3 x 181

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(80, 405) = 6480

GCD(80, 405) = ( 80 x 405 ) / 6480

GCD(80, 405) = 32400 / 6480

GCD(80, 405) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 148

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

LCM(5, 148) = 740

GCD(5, 148) = ( 5 x 148 ) / 740

GCD(5, 148) = 740 / 740

GCD(5, 148) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 80, 405, 148, 543 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 394, 458, 361
• GCD of 37, 142, 765, 748
• GCD of 65, 773, 198, 587
• GCD of 74, 676, 285, 280
• GCD of 11, 360, 328, 515

1. What is the GCD of 80, 405, 148, 543?

GCD of 80, 405, 148, 543 is 1

2. Where do I get the detailed procedure to find GCD of 80, 405, 148, 543?

You can find a detailed procedure to find GCD of 80, 405, 148, 543 on our page.

3. How to find GCD of 80, 405, 148, 543 on a calculator?

You can find the GCD of 80, 405, 148, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.