GCD of 696, 294, 913, 563 Calculator

Given Input numbers are 696, 294, 913, 563

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

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 696, 294, 913, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 294, 913, 563 is 1.

Therefore, GCD of numbers 696, 294, 913, 563 is 1

Given Input Data is 696, 294, 913, 563

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 913 is 11 x 83

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(696, 294) = 34104

GCD(696, 294) = ( 696 x 294 ) / 34104

GCD(696, 294) = 204624 / 34104

GCD(696, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 913

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

LCM(6, 913) = 5478

GCD(6, 913) = ( 6 x 913 ) / 5478

GCD(6, 913) = 5478 / 5478

GCD(6, 913) = 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 696, 294, 913, 563 is 1

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1. What is the GCD of 696, 294, 913, 563?

GCD of 696, 294, 913, 563 is 1

2. Where do I get the detailed procedure to find GCD of 696, 294, 913, 563?

You can find a detailed procedure to find GCD of 696, 294, 913, 563 on our page.

3. How to find GCD of 696, 294, 913, 563 on a calculator?

You can find the GCD of 696, 294, 913, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.