GCD of 284, 206, 720, 456 Calculator

Given Input numbers are 284, 206, 720, 456

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

Divisors of 284

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

1, 2, 4, 71, 142, 284

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 284, 206, 720, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 206, 720, 456 is 2.

Therefore, GCD of numbers 284, 206, 720, 456 is 2

Given Input Data is 284, 206, 720, 456

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 206 is 2 x 103

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(284, 206) = 29252

GCD(284, 206) = ( 284 x 206 ) / 29252

GCD(284, 206) = 58504 / 29252

GCD(284, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

GCD of 284, 206, 720, 456 is 2

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1. What is the GCD of 284, 206, 720, 456?

GCD of 284, 206, 720, 456 is 2

2. Where do I get the detailed procedure to find GCD of 284, 206, 720, 456?

You can find a detailed procedure to find GCD of 284, 206, 720, 456 on our page.

3. How to find GCD of 284, 206, 720, 456 on a calculator?

You can find the GCD of 284, 206, 720, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.