GCD of 550, 850, 244, 364 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 550, 850, 244, 364 i.e. 2 largest integer that divides all the numbers equally.

GCD of 550, 850, 244, 364 is 2

GCD(550, 850, 244, 364) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 550, 850, 244, 364 is 2

GCD(550, 850, 244, 364) = 2

GCD of 550,850,244,364 Calculator

GCDof 550,850,244,364 is 2

Given Input numbers are 550, 850, 244, 364

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 550, 850, 244, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 850, 244, 364 is 2.

Therefore, GCD of numbers 550, 850, 244, 364 is 2

Finding GCD of 550, 850, 244, 364 using Prime Factorization

Given Input Data is 550, 850, 244, 364

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 550, 850, 244, 364 using LCM Formula

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, 850) = 9350

GCD(550, 850) = ( 550 x 850 ) / 9350

GCD(550, 850) = 467500 / 9350

GCD(550, 850) = 50


Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 244

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

LCM(50, 244) = 6100

GCD(50, 244) = ( 50 x 244 ) / 6100

GCD(50, 244) = 12200 / 6100

GCD(50, 244) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 550, 850, 244, 364 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 550, 850, 244, 364

1. What is the GCD of 550, 850, 244, 364?

GCD of 550, 850, 244, 364 is 2


2. Where do I get the detailed procedure to find GCD of 550, 850, 244, 364?

You can find a detailed procedure to find GCD of 550, 850, 244, 364 on our page.


3. How to find GCD of 550, 850, 244, 364 on a calculator?

You can find the GCD of 550, 850, 244, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.