GCD of 550, 188, 84, 369 Calculator

Given Input numbers are 550, 188, 84, 369

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 550, 188, 84, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 188, 84, 369 is 1.

Therefore, GCD of numbers 550, 188, 84, 369 is 1

Given Input Data is 550, 188, 84, 369

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 188 is 2 x 2 x 47

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 369 is 3 x 3 x 41

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, 188) = 51700

GCD(550, 188) = ( 550 x 188 ) / 51700

GCD(550, 188) = 103400 / 51700

GCD(550, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

GCD of 550, 188, 84, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 300, 59, 278
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• GCD of 522, 367, 87, 505
• GCD of 712, 682, 22, 310
• GCD of 517, 360, 73, 759

1. What is the GCD of 550, 188, 84, 369?

GCD of 550, 188, 84, 369 is 1

2. Where do I get the detailed procedure to find GCD of 550, 188, 84, 369?

You can find a detailed procedure to find GCD of 550, 188, 84, 369 on our page.

3. How to find GCD of 550, 188, 84, 369 on a calculator?

You can find the GCD of 550, 188, 84, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.