GCD of 165, 219, 84, 627 Calculator

Given Input numbers are 165, 219, 84, 627

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

Divisors of 165

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

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

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 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 165, 219, 84, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 219, 84, 627 is 3.

Therefore, GCD of numbers 165, 219, 84, 627 is 3

Given Input Data is 165, 219, 84, 627

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 219 is 3 x 73

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

Prime Factorization of 627 is 3 x 11 x 19

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(165, 219) = 12045

GCD(165, 219) = ( 165 x 219 ) / 12045

GCD(165, 219) = 36135 / 12045

GCD(165, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 627

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

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

GCD(3, 627) = 1881 / 627

GCD(3, 627) = 3

GCD of 165, 219, 84, 627 is 3

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• GCD of 620, 918, 98, 197
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• GCD of 617, 614, 42, 138

1. What is the GCD of 165, 219, 84, 627?

GCD of 165, 219, 84, 627 is 3

2. Where do I get the detailed procedure to find GCD of 165, 219, 84, 627?

You can find a detailed procedure to find GCD of 165, 219, 84, 627 on our page.

3. How to find GCD of 165, 219, 84, 627 on a calculator?

You can find the GCD of 165, 219, 84, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.