GCD of 171, 963, 55, 918 Calculator

Given Input numbers are 171, 963, 55, 918

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

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 171, 963, 55, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 963, 55, 918 is 1.

Therefore, GCD of numbers 171, 963, 55, 918 is 1

Given Input Data is 171, 963, 55, 918

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 55 is 5 x 11

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(171, 963) = 18297

GCD(171, 963) = ( 171 x 963 ) / 18297

GCD(171, 963) = 164673 / 18297

GCD(171, 963) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 55

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

LCM(9, 55) = 495

GCD(9, 55) = ( 9 x 55 ) / 495

GCD(9, 55) = 495 / 495

GCD(9, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 171, 963, 55, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 945, 33, 364
• GCD of 732, 529, 13, 974
• GCD of 246, 555, 18, 946
• GCD of 210, 553, 10, 349
• GCD of 228, 947, 39, 558

1. What is the GCD of 171, 963, 55, 918?

GCD of 171, 963, 55, 918 is 1

2. Where do I get the detailed procedure to find GCD of 171, 963, 55, 918?

You can find a detailed procedure to find GCD of 171, 963, 55, 918 on our page.

3. How to find GCD of 171, 963, 55, 918 on a calculator?

You can find the GCD of 171, 963, 55, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.