GCD of 550, 185, 77, 363 Calculator

Given Input numbers are 550, 185, 77, 363

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 550, 185, 77, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 185, 77, 363 is 1.

Therefore, GCD of numbers 550, 185, 77, 363 is 1

Given Input Data is 550, 185, 77, 363

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 185 is 5 x 37

Prime Factorization of 77 is 7 x 11

Prime Factorization of 363 is 3 x 11 x 11

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, 185) = 20350

GCD(550, 185) = ( 550 x 185 ) / 20350

GCD(550, 185) = 101750 / 20350

GCD(550, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 77

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

LCM(5, 77) = 385

GCD(5, 77) = ( 5 x 77 ) / 385

GCD(5, 77) = 385 / 385

GCD(5, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 550, 185, 77, 363 is 1

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1. What is the GCD of 550, 185, 77, 363?

GCD of 550, 185, 77, 363 is 1

2. Where do I get the detailed procedure to find GCD of 550, 185, 77, 363?

You can find a detailed procedure to find GCD of 550, 185, 77, 363 on our page.

3. How to find GCD of 550, 185, 77, 363 on a calculator?

You can find the GCD of 550, 185, 77, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.