GCD of 21, 560, 434, 659 Calculator

Given Input numbers are 21, 560, 434, 659

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 21, 560, 434, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 560, 434, 659 is 1.

Therefore, GCD of numbers 21, 560, 434, 659 is 1

Given Input Data is 21, 560, 434, 659

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

Prime Factorization of 21 is 3 x 7

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 659 is 659

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(21, 560) = 1680

GCD(21, 560) = ( 21 x 560 ) / 1680

GCD(21, 560) = 11760 / 1680

GCD(21, 560) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 434

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

LCM(7, 434) = 434

GCD(7, 434) = ( 7 x 434 ) / 434

GCD(7, 434) = 3038 / 434

GCD(7, 434) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 659

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

LCM(7, 659) = 4613

GCD(7, 659) = ( 7 x 659 ) / 4613

GCD(7, 659) = 4613 / 4613

GCD(7, 659) = 1

GCD of 21, 560, 434, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 216, 375, 671
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• GCD of 77, 919, 258, 777

1. What is the GCD of 21, 560, 434, 659?

GCD of 21, 560, 434, 659 is 1

2. Where do I get the detailed procedure to find GCD of 21, 560, 434, 659?

You can find a detailed procedure to find GCD of 21, 560, 434, 659 on our page.

3. How to find GCD of 21, 560, 434, 659 on a calculator?

You can find the GCD of 21, 560, 434, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.