GCD of 176, 417, 65, 561 Calculator

Given Input numbers are 176, 417, 65, 561

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 176, 417, 65, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 417, 65, 561 is 1.

Therefore, GCD of numbers 176, 417, 65, 561 is 1

Given Input Data is 176, 417, 65, 561

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 417 is 3 x 139

Prime Factorization of 65 is 5 x 13

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(176, 417) = 73392

GCD(176, 417) = ( 176 x 417 ) / 73392

GCD(176, 417) = 73392 / 73392

GCD(176, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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 176, 417, 65, 561 is 1

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1. What is the GCD of 176, 417, 65, 561?

GCD of 176, 417, 65, 561 is 1

2. Where do I get the detailed procedure to find GCD of 176, 417, 65, 561?

You can find a detailed procedure to find GCD of 176, 417, 65, 561 on our page.

3. How to find GCD of 176, 417, 65, 561 on a calculator?

You can find the GCD of 176, 417, 65, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.