GCD of 360, 650, 36 Calculator

Given Input numbers are 360, 650, 36

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

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 360, 650, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 650, 36 is 2.

Therefore, GCD of numbers 360, 650, 36 is 2

Given Input Data is 360, 650, 36

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

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(360, 650) = 23400

GCD(360, 650) = ( 360 x 650 ) / 23400

GCD(360, 650) = 234000 / 23400

GCD(360, 650) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 36

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

LCM(10, 36) = 180

GCD(10, 36) = ( 10 x 36 ) / 180

GCD(10, 36) = 360 / 180

GCD(10, 36) = 2

GCD of 360, 650, 36 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 524, 29
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1. What is the GCD of 360, 650, 36?

GCD of 360, 650, 36 is 2

2. Where do I get the detailed procedure to find GCD of 360, 650, 36?

You can find a detailed procedure to find GCD of 360, 650, 36 on our page.

3. How to find GCD of 360, 650, 36 on a calculator?

You can find the GCD of 360, 650, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.