GCD of 463, 284, 360, 352 Calculator

Given Input numbers are 463, 284, 360, 352

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 284

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

1, 2, 4, 71, 142, 284

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 463, 284, 360, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 284, 360, 352 is 1.

Therefore, GCD of numbers 463, 284, 360, 352 is 1

Given Input Data is 463, 284, 360, 352

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

Prime Factorization of 463 is 463

Prime Factorization of 284 is 2 x 2 x 71

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(463, 284) = 131492

GCD(463, 284) = ( 463 x 284 ) / 131492

GCD(463, 284) = 131492 / 131492

GCD(463, 284) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

GCD of 463, 284, 360, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 227, 630, 675
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1. What is the GCD of 463, 284, 360, 352?

GCD of 463, 284, 360, 352 is 1

2. Where do I get the detailed procedure to find GCD of 463, 284, 360, 352?

You can find a detailed procedure to find GCD of 463, 284, 360, 352 on our page.

3. How to find GCD of 463, 284, 360, 352 on a calculator?

You can find the GCD of 463, 284, 360, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.