GCD of 281, 400, 45, 558 Calculator

Given Input numbers are 281, 400, 45, 558

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

Divisors of 281

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

1, 281

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 281, 400, 45, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 400, 45, 558 is 1.

Therefore, GCD of numbers 281, 400, 45, 558 is 1

Given Input Data is 281, 400, 45, 558

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

Prime Factorization of 281 is 281

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 558 is 2 x 3 x 3 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(281, 400) = 112400

GCD(281, 400) = ( 281 x 400 ) / 112400

GCD(281, 400) = 112400 / 112400

GCD(281, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 281, 400, 45, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 595, 369, 95, 310
• GCD of 791, 471, 96, 789
• GCD of 684, 841, 74, 465
• GCD of 512, 100, 31, 179
• GCD of 552, 910, 58, 425

1. What is the GCD of 281, 400, 45, 558?

GCD of 281, 400, 45, 558 is 1

2. Where do I get the detailed procedure to find GCD of 281, 400, 45, 558?

You can find a detailed procedure to find GCD of 281, 400, 45, 558 on our page.

3. How to find GCD of 281, 400, 45, 558 on a calculator?

You can find the GCD of 281, 400, 45, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.