GCD of 550, 400, 29, 344 Calculator

Given Input numbers are 550, 400, 29, 344

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 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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 550, 400, 29, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 400, 29, 344 is 1.

Therefore, GCD of numbers 550, 400, 29, 344 is 1

Given Input Data is 550, 400, 29, 344

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 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 29 is 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 400) = 4400

GCD(550, 400) = ( 550 x 400 ) / 4400

GCD(550, 400) = 220000 / 4400

GCD(550, 400) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 29

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

LCM(50, 29) = 1450

GCD(50, 29) = ( 50 x 29 ) / 1450

GCD(50, 29) = 1450 / 1450

GCD(50, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 550, 400, 29, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 251, 93, 327
• GCD of 532, 772, 19, 412
• GCD of 136, 432, 35, 472
• GCD of 815, 132, 33, 632
• GCD of 176, 416, 97, 958

1. What is the GCD of 550, 400, 29, 344?

GCD of 550, 400, 29, 344 is 1

2. Where do I get the detailed procedure to find GCD of 550, 400, 29, 344?

You can find a detailed procedure to find GCD of 550, 400, 29, 344 on our page.

3. How to find GCD of 550, 400, 29, 344 on a calculator?

You can find the GCD of 550, 400, 29, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.