GCD of 180, 246, 582, 684 Calculator

Given Input numbers are 180, 246, 582, 684

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 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 180, 246, 582, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 246, 582, 684 is 6.

Therefore, GCD of numbers 180, 246, 582, 684 is 6

Given Input Data is 180, 246, 582, 684

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 246 is 2 x 3 x 41

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 246) = 7380

GCD(180, 246) = ( 180 x 246 ) / 7380

GCD(180, 246) = 44280 / 7380

GCD(180, 246) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 582

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

LCM(6, 582) = 582

GCD(6, 582) = ( 6 x 582 ) / 582

GCD(6, 582) = 3492 / 582

GCD(6, 582) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 684

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

LCM(6, 684) = 684

GCD(6, 684) = ( 6 x 684 ) / 684

GCD(6, 684) = 4104 / 684

GCD(6, 684) = 6

GCD of 180, 246, 582, 684 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 206, 167, 529
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• GCD of 591, 405, 199, 211
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• GCD of 989, 609, 698, 799

1. What is the GCD of 180, 246, 582, 684?

GCD of 180, 246, 582, 684 is 6

2. Where do I get the detailed procedure to find GCD of 180, 246, 582, 684?

You can find a detailed procedure to find GCD of 180, 246, 582, 684 on our page.

3. How to find GCD of 180, 246, 582, 684 on a calculator?

You can find the GCD of 180, 246, 582, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.