GCD of 550, 184, 39, 169 Calculator

Given Input numbers are 550, 184, 39, 169

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 550, 184, 39, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 184, 39, 169 is 1.

Therefore, GCD of numbers 550, 184, 39, 169 is 1

Given Input Data is 550, 184, 39, 169

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 184 is 2 x 2 x 2 x 23

Prime Factorization of 39 is 3 x 13

Prime Factorization of 169 is 13 x 13

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, 184) = 50600

GCD(550, 184) = ( 550 x 184 ) / 50600

GCD(550, 184) = 101200 / 50600

GCD(550, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 550, 184, 39, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 172, 93, 381
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• GCD of 763, 939, 42, 330
• GCD of 883, 408, 28, 836

1. What is the GCD of 550, 184, 39, 169?

GCD of 550, 184, 39, 169 is 1

2. Where do I get the detailed procedure to find GCD of 550, 184, 39, 169?

You can find a detailed procedure to find GCD of 550, 184, 39, 169 on our page.

3. How to find GCD of 550, 184, 39, 169 on a calculator?

You can find the GCD of 550, 184, 39, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.