GCD of 280, 728, 281, 155 Calculator

Given Input numbers are 280, 728, 281, 155

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 280, 728, 281, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 728, 281, 155 is 1.

Therefore, GCD of numbers 280, 728, 281, 155 is 1

Given Input Data is 280, 728, 281, 155

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 281 is 281

Prime Factorization of 155 is 5 x 31

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(280, 728) = 3640

GCD(280, 728) = ( 280 x 728 ) / 3640

GCD(280, 728) = 203840 / 3640

GCD(280, 728) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 281

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

LCM(56, 281) = 15736

GCD(56, 281) = ( 56 x 281 ) / 15736

GCD(56, 281) = 15736 / 15736

GCD(56, 281) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

GCD of 280, 728, 281, 155 is 1

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1. What is the GCD of 280, 728, 281, 155?

GCD of 280, 728, 281, 155 is 1

2. Where do I get the detailed procedure to find GCD of 280, 728, 281, 155?

You can find a detailed procedure to find GCD of 280, 728, 281, 155 on our page.

3. How to find GCD of 280, 728, 281, 155 on a calculator?

You can find the GCD of 280, 728, 281, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.