GCD of 168, 578, 18, 582 Calculator

Given Input numbers are 168, 578, 18, 582

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 168, 578, 18, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 578, 18, 582 is 2.

Therefore, GCD of numbers 168, 578, 18, 582 is 2

Given Input Data is 168, 578, 18, 582

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 582 is 2 x 3 x 97

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(168, 578) = 48552

GCD(168, 578) = ( 168 x 578 ) / 48552

GCD(168, 578) = 97104 / 48552

GCD(168, 578) = 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 582

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

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

GCD(2, 582) = 1164 / 582

GCD(2, 582) = 2

GCD of 168, 578, 18, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 248, 59, 284
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• GCD of 722, 109, 58, 980
• GCD of 110, 168, 18, 745
• GCD of 198, 970, 80, 797

1. What is the GCD of 168, 578, 18, 582?

GCD of 168, 578, 18, 582 is 2

2. Where do I get the detailed procedure to find GCD of 168, 578, 18, 582?

You can find a detailed procedure to find GCD of 168, 578, 18, 582 on our page.

3. How to find GCD of 168, 578, 18, 582 on a calculator?

You can find the GCD of 168, 578, 18, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.