GCD of 561, 221, 651, 795 Calculator

Given Input numbers are 561, 221, 651, 795

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 561, 221, 651, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 221, 651, 795 is 1.

Therefore, GCD of numbers 561, 221, 651, 795 is 1

Given Input Data is 561, 221, 651, 795

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 221 is 13 x 17

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 795 is 3 x 5 x 53

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, 221) = 7293

GCD(561, 221) = ( 561 x 221 ) / 7293

GCD(561, 221) = 123981 / 7293

GCD(561, 221) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 651

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

LCM(17, 651) = 11067

GCD(17, 651) = ( 17 x 651 ) / 11067

GCD(17, 651) = 11067 / 11067

GCD(17, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

GCD of 561, 221, 651, 795 is 1

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1. What is the GCD of 561, 221, 651, 795?

GCD of 561, 221, 651, 795 is 1

2. Where do I get the detailed procedure to find GCD of 561, 221, 651, 795?

You can find a detailed procedure to find GCD of 561, 221, 651, 795 on our page.

3. How to find GCD of 561, 221, 651, 795 on a calculator?

You can find the GCD of 561, 221, 651, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.