GCD of 308, 345, 98, 563 Calculator

Given Input numbers are 308, 345, 98, 563

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

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 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 308, 345, 98, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 345, 98, 563 is 1.

Therefore, GCD of numbers 308, 345, 98, 563 is 1

Given Input Data is 308, 345, 98, 563

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

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 563 is 563

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(308, 345) = 106260

GCD(308, 345) = ( 308 x 345 ) / 106260

GCD(308, 345) = 106260 / 106260

GCD(308, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 98

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

LCM(1, 98) = 98

GCD(1, 98) = ( 1 x 98 ) / 98

GCD(1, 98) = 98 / 98

GCD(1, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 308, 345, 98, 563 is 1

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• GCD of 682, 442, 27, 406
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• GCD of 715, 274, 45, 328

1. What is the GCD of 308, 345, 98, 563?

GCD of 308, 345, 98, 563 is 1

2. Where do I get the detailed procedure to find GCD of 308, 345, 98, 563?

You can find a detailed procedure to find GCD of 308, 345, 98, 563 on our page.

3. How to find GCD of 308, 345, 98, 563 on a calculator?

You can find the GCD of 308, 345, 98, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.