GCD of 562, 308, 638, 305 Calculator

Given Input numbers are 562, 308, 638, 305

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

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 562, 308, 638, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 308, 638, 305 is 1.

Therefore, GCD of numbers 562, 308, 638, 305 is 1

Given Input Data is 562, 308, 638, 305

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 638 is 2 x 11 x 29

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(562, 308) = 86548

GCD(562, 308) = ( 562 x 308 ) / 86548

GCD(562, 308) = 173096 / 86548

GCD(562, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 562, 308, 638, 305 is 1

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• GCD of 680, 629, 698, 286
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1. What is the GCD of 562, 308, 638, 305?

GCD of 562, 308, 638, 305 is 1

2. Where do I get the detailed procedure to find GCD of 562, 308, 638, 305?

You can find a detailed procedure to find GCD of 562, 308, 638, 305 on our page.

3. How to find GCD of 562, 308, 638, 305 on a calculator?

You can find the GCD of 562, 308, 638, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.