GCD of 559, 918, 253, 696 Calculator

Given Input numbers are 559, 918, 253, 696

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

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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

Greatest Common Divisior

We found the divisors of 559, 918, 253, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 918, 253, 696 is 1.

Therefore, GCD of numbers 559, 918, 253, 696 is 1

Given Input Data is 559, 918, 253, 696

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 253 is 11 x 23

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

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(559, 918) = 513162

GCD(559, 918) = ( 559 x 918 ) / 513162

GCD(559, 918) = 513162 / 513162

GCD(559, 918) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 559, 918, 253, 696 is 1

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1. What is the GCD of 559, 918, 253, 696?

GCD of 559, 918, 253, 696 is 1

2. Where do I get the detailed procedure to find GCD of 559, 918, 253, 696?

You can find a detailed procedure to find GCD of 559, 918, 253, 696 on our page.

3. How to find GCD of 559, 918, 253, 696 on a calculator?

You can find the GCD of 559, 918, 253, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.