GCD of 360, 276, 16, 284 Calculator

Given Input numbers are 360, 276, 16, 284

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 360, 276, 16, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 276, 16, 284 is 4.

Therefore, GCD of numbers 360, 276, 16, 284 is 4

Given Input Data is 360, 276, 16, 284

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 276 is 2 x 2 x 3 x 23

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 284 is 2 x 2 x 71

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 276) = 8280

GCD(360, 276) = ( 360 x 276 ) / 8280

GCD(360, 276) = 99360 / 8280

GCD(360, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 16

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

LCM(12, 16) = 48

GCD(12, 16) = ( 12 x 16 ) / 48

GCD(12, 16) = 192 / 48

GCD(12, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 284

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

LCM(4, 284) = 284

GCD(4, 284) = ( 4 x 284 ) / 284

GCD(4, 284) = 1136 / 284

GCD(4, 284) = 4

GCD of 360, 276, 16, 284 is 4

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1. What is the GCD of 360, 276, 16, 284?

GCD of 360, 276, 16, 284 is 4

2. Where do I get the detailed procedure to find GCD of 360, 276, 16, 284?

You can find a detailed procedure to find GCD of 360, 276, 16, 284 on our page.

3. How to find GCD of 360, 276, 16, 284 on a calculator?

You can find the GCD of 360, 276, 16, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.