GCD of 470, 168, 82, 576 Calculator

Given Input numbers are 470, 168, 82, 576

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 470, 168, 82, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 168, 82, 576 is 2.

Therefore, GCD of numbers 470, 168, 82, 576 is 2

Given Input Data is 470, 168, 82, 576

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

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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(470, 168) = 39480

GCD(470, 168) = ( 470 x 168 ) / 39480

GCD(470, 168) = 78960 / 39480

GCD(470, 168) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

GCD of 470, 168, 82, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 891, 40, 483
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• GCD of 466, 124, 36, 379
• GCD of 808, 307, 46, 453

1. What is the GCD of 470, 168, 82, 576?

GCD of 470, 168, 82, 576 is 2

2. Where do I get the detailed procedure to find GCD of 470, 168, 82, 576?

You can find a detailed procedure to find GCD of 470, 168, 82, 576 on our page.

3. How to find GCD of 470, 168, 82, 576 on a calculator?

You can find the GCD of 470, 168, 82, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.