GCD of 472, 216, 68, 305 Calculator

Given Input numbers are 472, 216, 68, 305

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 472, 216, 68, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 216, 68, 305 is 1.

Therefore, GCD of numbers 472, 216, 68, 305 is 1

Given Input Data is 472, 216, 68, 305

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 305 is 5 x 61

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(472, 216) = 12744

GCD(472, 216) = ( 472 x 216 ) / 12744

GCD(472, 216) = 101952 / 12744

GCD(472, 216) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 68

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

LCM(8, 68) = 136

GCD(8, 68) = ( 8 x 68 ) / 136

GCD(8, 68) = 544 / 136

GCD(8, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 305

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

LCM(4, 305) = 1220

GCD(4, 305) = ( 4 x 305 ) / 1220

GCD(4, 305) = 1220 / 1220

GCD(4, 305) = 1

GCD of 472, 216, 68, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 203, 53, 602
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• GCD of 934, 820, 87, 103
• GCD of 226, 219, 44, 962
• GCD of 215, 657, 56, 813

1. What is the GCD of 472, 216, 68, 305?

GCD of 472, 216, 68, 305 is 1

2. Where do I get the detailed procedure to find GCD of 472, 216, 68, 305?

You can find a detailed procedure to find GCD of 472, 216, 68, 305 on our page.

3. How to find GCD of 472, 216, 68, 305 on a calculator?

You can find the GCD of 472, 216, 68, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.