GCD of 634, 560, 11, 559 Calculator

Given Input numbers are 634, 560, 11, 559

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 559

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

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 634, 560, 11, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 560, 11, 559 is 1.

Therefore, GCD of numbers 634, 560, 11, 559 is 1

Given Input Data is 634, 560, 11, 559

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 11 is 11

Prime Factorization of 559 is 13 x 43

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(634, 560) = 177520

GCD(634, 560) = ( 634 x 560 ) / 177520

GCD(634, 560) = 355040 / 177520

GCD(634, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 634, 560, 11, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 268, 12, 921
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• GCD of 660, 837, 39, 942
• GCD of 762, 337, 10, 532
• GCD of 241, 901, 68, 369

1. What is the GCD of 634, 560, 11, 559?

GCD of 634, 560, 11, 559 is 1

2. Where do I get the detailed procedure to find GCD of 634, 560, 11, 559?

You can find a detailed procedure to find GCD of 634, 560, 11, 559 on our page.

3. How to find GCD of 634, 560, 11, 559 on a calculator?

You can find the GCD of 634, 560, 11, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.