GCD of 550, 152, 59, 188 Calculator

Given Input numbers are 550, 152, 59, 188

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 188

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

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 550, 152, 59, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 152, 59, 188 is 1.

Therefore, GCD of numbers 550, 152, 59, 188 is 1

Given Input Data is 550, 152, 59, 188

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 59 is 59

Prime Factorization of 188 is 2 x 2 x 47

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, 152) = 41800

GCD(550, 152) = ( 550 x 152 ) / 41800

GCD(550, 152) = 83600 / 41800

GCD(550, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 550, 152, 59, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 380, 69, 655
• GCD of 387, 976, 89, 338
• GCD of 780, 536, 58, 439
• GCD of 177, 209, 24, 927
• GCD of 200, 719, 63, 986

1. What is the GCD of 550, 152, 59, 188?

GCD of 550, 152, 59, 188 is 1

2. Where do I get the detailed procedure to find GCD of 550, 152, 59, 188?

You can find a detailed procedure to find GCD of 550, 152, 59, 188 on our page.

3. How to find GCD of 550, 152, 59, 188 on a calculator?

You can find the GCD of 550, 152, 59, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.