GCD of 660, 846, 82, 330 Calculator

Given Input numbers are 660, 846, 82, 330

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 660, 846, 82, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 846, 82, 330 is 2.

Therefore, GCD of numbers 660, 846, 82, 330 is 2

Given Input Data is 660, 846, 82, 330

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 82 is 2 x 41

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(660, 846) = 93060

GCD(660, 846) = ( 660 x 846 ) / 93060

GCD(660, 846) = 558360 / 93060

GCD(660, 846) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

GCD of 660, 846, 82, 330 is 2

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1. What is the GCD of 660, 846, 82, 330?

GCD of 660, 846, 82, 330 is 2

2. Where do I get the detailed procedure to find GCD of 660, 846, 82, 330?

You can find a detailed procedure to find GCD of 660, 846, 82, 330 on our page.

3. How to find GCD of 660, 846, 82, 330 on a calculator?

You can find the GCD of 660, 846, 82, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.