GCD of 180, 370, 468, 626 Calculator

Given Input numbers are 180, 370, 468, 626

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

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 180, 370, 468, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 370, 468, 626 is 2.

Therefore, GCD of numbers 180, 370, 468, 626 is 2

Given Input Data is 180, 370, 468, 626

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

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 626 is 2 x 313

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(180, 370) = 6660

GCD(180, 370) = ( 180 x 370 ) / 6660

GCD(180, 370) = 66600 / 6660

GCD(180, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 468

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

LCM(10, 468) = 2340

GCD(10, 468) = ( 10 x 468 ) / 2340

GCD(10, 468) = 4680 / 2340

GCD(10, 468) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 626

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

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

GCD(2, 626) = 1252 / 626

GCD(2, 626) = 2

GCD of 180, 370, 468, 626 is 2

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1. What is the GCD of 180, 370, 468, 626?

GCD of 180, 370, 468, 626 is 2

2. Where do I get the detailed procedure to find GCD of 180, 370, 468, 626?

You can find a detailed procedure to find GCD of 180, 370, 468, 626 on our page.

3. How to find GCD of 180, 370, 468, 626 on a calculator?

You can find the GCD of 180, 370, 468, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.