GCD of 480, 218, 71, 636 Calculator

Given Input numbers are 480, 218, 71, 636

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 480, 218, 71, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 218, 71, 636 is 1.

Therefore, GCD of numbers 480, 218, 71, 636 is 1

Given Input Data is 480, 218, 71, 636

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 218 is 2 x 109

Prime Factorization of 71 is 71

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(480, 218) = 52320

GCD(480, 218) = ( 480 x 218 ) / 52320

GCD(480, 218) = 104640 / 52320

GCD(480, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 636

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

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

GCD(1, 636) = 636 / 636

GCD(1, 636) = 1

GCD of 480, 218, 71, 636 is 1

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• GCD of 389, 338, 97, 429
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1. What is the GCD of 480, 218, 71, 636?

GCD of 480, 218, 71, 636 is 1

2. Where do I get the detailed procedure to find GCD of 480, 218, 71, 636?

You can find a detailed procedure to find GCD of 480, 218, 71, 636 on our page.

3. How to find GCD of 480, 218, 71, 636 on a calculator?

You can find the GCD of 480, 218, 71, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.