GCD of 559, 322, 66, 649 Calculator

Given Input numbers are 559, 322, 66, 649

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 559, 322, 66, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 322, 66, 649 is 1.

Therefore, GCD of numbers 559, 322, 66, 649 is 1

Given Input Data is 559, 322, 66, 649

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 649 is 11 x 59

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, 322) = 179998

GCD(559, 322) = ( 559 x 322 ) / 179998

GCD(559, 322) = 179998 / 179998

GCD(559, 322) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 559, 322, 66, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 181, 39, 139
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• GCD of 749, 734, 19, 651
• GCD of 852, 220, 58, 364
• GCD of 459, 196, 51, 567

1. What is the GCD of 559, 322, 66, 649?

GCD of 559, 322, 66, 649 is 1

2. Where do I get the detailed procedure to find GCD of 559, 322, 66, 649?

You can find a detailed procedure to find GCD of 559, 322, 66, 649 on our page.

3. How to find GCD of 559, 322, 66, 649 on a calculator?

You can find the GCD of 559, 322, 66, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.