GCD of 468, 171, 552, 417 Calculator

Given Input numbers are 468, 171, 552, 417

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 417

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

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 468, 171, 552, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 171, 552, 417 is 3.

Therefore, GCD of numbers 468, 171, 552, 417 is 3

Given Input Data is 468, 171, 552, 417

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 417 is 3 x 139

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(468, 171) = 8892

GCD(468, 171) = ( 468 x 171 ) / 8892

GCD(468, 171) = 80028 / 8892

GCD(468, 171) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 552

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

LCM(9, 552) = 1656

GCD(9, 552) = ( 9 x 552 ) / 1656

GCD(9, 552) = 4968 / 1656

GCD(9, 552) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

GCD of 468, 171, 552, 417 is 3

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1. What is the GCD of 468, 171, 552, 417?

GCD of 468, 171, 552, 417 is 3

2. Where do I get the detailed procedure to find GCD of 468, 171, 552, 417?

You can find a detailed procedure to find GCD of 468, 171, 552, 417 on our page.

3. How to find GCD of 468, 171, 552, 417 on a calculator?

You can find the GCD of 468, 171, 552, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.