GCD of 360, 146, 606 Calculator

Given Input numbers are 360, 146, 606

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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 360, 146, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 146, 606 is 2.

Therefore, GCD of numbers 360, 146, 606 is 2

Given Input Data is 360, 146, 606

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 146 is 2 x 73

Prime Factorization of 606 is 2 x 3 x 101

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, 146) = 26280

GCD(360, 146) = ( 360 x 146 ) / 26280

GCD(360, 146) = 52560 / 26280

GCD(360, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 606

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

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

GCD(2, 606) = 1212 / 606

GCD(2, 606) = 2

GCD of 360, 146, 606 is 2

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1. What is the GCD of 360, 146, 606?

GCD of 360, 146, 606 is 2

2. Where do I get the detailed procedure to find GCD of 360, 146, 606?

You can find a detailed procedure to find GCD of 360, 146, 606 on our page.

3. How to find GCD of 360, 146, 606 on a calculator?

You can find the GCD of 360, 146, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.