GCD of 654, 494, 18, 472 Calculator

Given Input numbers are 654, 494, 18, 472

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 654, 494, 18, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 494, 18, 472 is 2.

Therefore, GCD of numbers 654, 494, 18, 472 is 2

Given Input Data is 654, 494, 18, 472

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 472 is 2 x 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(654, 494) = 161538

GCD(654, 494) = ( 654 x 494 ) / 161538

GCD(654, 494) = 323076 / 161538

GCD(654, 494) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

GCD of 654, 494, 18, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 801, 18, 598
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• GCD of 665, 702, 42, 690
• GCD of 371, 232, 14, 980

1. What is the GCD of 654, 494, 18, 472?

GCD of 654, 494, 18, 472 is 2

2. Where do I get the detailed procedure to find GCD of 654, 494, 18, 472?

You can find a detailed procedure to find GCD of 654, 494, 18, 472 on our page.

3. How to find GCD of 654, 494, 18, 472 on a calculator?

You can find the GCD of 654, 494, 18, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.