GCD of 628, 309, 34, 563 Calculator

Given Input numbers are 628, 309, 34, 563

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 628, 309, 34, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 309, 34, 563 is 1.

Therefore, GCD of numbers 628, 309, 34, 563 is 1

Given Input Data is 628, 309, 34, 563

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 309 is 3 x 103

Prime Factorization of 34 is 2 x 17

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(628, 309) = 194052

GCD(628, 309) = ( 628 x 309 ) / 194052

GCD(628, 309) = 194052 / 194052

GCD(628, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 628, 309, 34, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 759, 96, 329
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• GCD of 396, 380, 54, 549
• GCD of 222, 381, 67, 843
• GCD of 824, 849, 19, 599

1. What is the GCD of 628, 309, 34, 563?

GCD of 628, 309, 34, 563 is 1

2. Where do I get the detailed procedure to find GCD of 628, 309, 34, 563?

You can find a detailed procedure to find GCD of 628, 309, 34, 563 on our page.

3. How to find GCD of 628, 309, 34, 563 on a calculator?

You can find the GCD of 628, 309, 34, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.