GCD of 550, 230, 71, 400 Calculator

Given Input numbers are 550, 230, 71, 400

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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

Greatest Common Divisior

We found the divisors of 550, 230, 71, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 230, 71, 400 is 1.

Therefore, GCD of numbers 550, 230, 71, 400 is 1

Given Input Data is 550, 230, 71, 400

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 71 is 71

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

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(550, 230) = 12650

GCD(550, 230) = ( 550 x 230 ) / 12650

GCD(550, 230) = 126500 / 12650

GCD(550, 230) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 71

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

LCM(10, 71) = 710

GCD(10, 71) = ( 10 x 71 ) / 710

GCD(10, 71) = 710 / 710

GCD(10, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 550, 230, 71, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 741, 35, 609
• GCD of 649, 244, 63, 762
• GCD of 123, 353, 54, 266
• GCD of 637, 507, 37, 680
• GCD of 489, 530, 57, 796

1. What is the GCD of 550, 230, 71, 400?

GCD of 550, 230, 71, 400 is 1

2. Where do I get the detailed procedure to find GCD of 550, 230, 71, 400?

You can find a detailed procedure to find GCD of 550, 230, 71, 400 on our page.

3. How to find GCD of 550, 230, 71, 400 on a calculator?

You can find the GCD of 550, 230, 71, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.