GCD of 661, 105, 336, 561 Calculator

Given Input numbers are 661, 105, 336, 561

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

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 561

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

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

Greatest Common Divisior

We found the divisors of 661, 105, 336, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 661, 105, 336, 561 is 1.

Therefore, GCD of numbers 661, 105, 336, 561 is 1

Given Input Data is 661, 105, 336, 561

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

Prime Factorization of 661 is 661

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 561 is 3 x 11 x 17

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(661, 105) = 69405

GCD(661, 105) = ( 661 x 105 ) / 69405

GCD(661, 105) = 69405 / 69405

GCD(661, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 661, 105, 336, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 972, 697, 538
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1. What is the GCD of 661, 105, 336, 561?

GCD of 661, 105, 336, 561 is 1

2. Where do I get the detailed procedure to find GCD of 661, 105, 336, 561?

You can find a detailed procedure to find GCD of 661, 105, 336, 561 on our page.

3. How to find GCD of 661, 105, 336, 561 on a calculator?

You can find the GCD of 661, 105, 336, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.