GCD of 283, 606, 11, 360 Calculator

Given Input numbers are 283, 606, 11, 360

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 606

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

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

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 283, 606, 11, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 606, 11, 360 is 1.

Therefore, GCD of numbers 283, 606, 11, 360 is 1

Given Input Data is 283, 606, 11, 360

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

Prime Factorization of 283 is 283

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 11 is 11

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

The above numbers do not have any common prime factor. So GCD is 1

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(283, 606) = 171498

GCD(283, 606) = ( 283 x 606 ) / 171498

GCD(283, 606) = 171498 / 171498

GCD(283, 606) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 283, 606, 11, 360 is 1

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1. What is the GCD of 283, 606, 11, 360?

GCD of 283, 606, 11, 360 is 1

2. Where do I get the detailed procedure to find GCD of 283, 606, 11, 360?

You can find a detailed procedure to find GCD of 283, 606, 11, 360 on our page.

3. How to find GCD of 283, 606, 11, 360 on a calculator?

You can find the GCD of 283, 606, 11, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.