GCD of 561, 459, 635, 469 Calculator

Given Input numbers are 561, 459, 635, 469

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 561, 459, 635, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 459, 635, 469 is 1.

Therefore, GCD of numbers 561, 459, 635, 469 is 1

Given Input Data is 561, 459, 635, 469

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 635 is 5 x 127

Prime Factorization of 469 is 7 x 67

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(561, 459) = 5049

GCD(561, 459) = ( 561 x 459 ) / 5049

GCD(561, 459) = 257499 / 5049

GCD(561, 459) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 635

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

LCM(51, 635) = 32385

GCD(51, 635) = ( 51 x 635 ) / 32385

GCD(51, 635) = 32385 / 32385

GCD(51, 635) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 561, 459, 635, 469 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 269, 166, 565
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• GCD of 529, 113, 583, 669
• GCD of 720, 982, 905, 956
• GCD of 836, 128, 950, 689

1. What is the GCD of 561, 459, 635, 469?

GCD of 561, 459, 635, 469 is 1

2. Where do I get the detailed procedure to find GCD of 561, 459, 635, 469?

You can find a detailed procedure to find GCD of 561, 459, 635, 469 on our page.

3. How to find GCD of 561, 459, 635, 469 on a calculator?

You can find the GCD of 561, 459, 635, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.