GCD of 364, 366, 360 Calculator

Given Input numbers are 364, 366, 360

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 364, 366, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 366, 360 is 2.

Therefore, GCD of numbers 364, 366, 360 is 2

Given Input Data is 364, 366, 360

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(364, 366) = 66612

GCD(364, 366) = ( 364 x 366 ) / 66612

GCD(364, 366) = 133224 / 66612

GCD(364, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 364, 366, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 441, 405
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• GCD of 637, 261, 493
• GCD of 982, 805, 468
• GCD of 662, 310, 760

1. What is the GCD of 364, 366, 360?

GCD of 364, 366, 360 is 2

2. Where do I get the detailed procedure to find GCD of 364, 366, 360?

You can find a detailed procedure to find GCD of 364, 366, 360 on our page.

3. How to find GCD of 364, 366, 360 on a calculator?

You can find the GCD of 364, 366, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.