GCD of 19, 419, 180, 165 Calculator

Given Input numbers are 19, 419, 180, 165

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 19, 419, 180, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 419, 180, 165 is 1.

Therefore, GCD of numbers 19, 419, 180, 165 is 1

Given Input Data is 19, 419, 180, 165

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 19 is 19

Prime Factorization of 419 is 419

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 165 is 3 x 5 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(19, 419) = 7961

GCD(19, 419) = ( 19 x 419 ) / 7961

GCD(19, 419) = 7961 / 7961

GCD(19, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 19, 419, 180, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 845, 710, 446
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• GCD of 87, 127, 121, 345
• GCD of 53, 778, 364, 911
• GCD of 10, 402, 248, 416

1. What is the GCD of 19, 419, 180, 165?

GCD of 19, 419, 180, 165 is 1

2. Where do I get the detailed procedure to find GCD of 19, 419, 180, 165?

You can find a detailed procedure to find GCD of 19, 419, 180, 165 on our page.

3. How to find GCD of 19, 419, 180, 165 on a calculator?

You can find the GCD of 19, 419, 180, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.