GCD of 282, 164, 348, 576 Calculator

Given Input numbers are 282, 164, 348, 576

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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 282, 164, 348, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 164, 348, 576 is 2.

Therefore, GCD of numbers 282, 164, 348, 576 is 2

Given Input Data is 282, 164, 348, 576

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(282, 164) = 23124

GCD(282, 164) = ( 282 x 164 ) / 23124

GCD(282, 164) = 46248 / 23124

GCD(282, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 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 282, 164, 348, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 495, 872, 416
• GCD of 200, 813, 913, 664
• GCD of 423, 619, 354, 143
• GCD of 368, 952, 492, 368
• GCD of 147, 205, 794, 564

1. What is the GCD of 282, 164, 348, 576?

GCD of 282, 164, 348, 576 is 2

2. Where do I get the detailed procedure to find GCD of 282, 164, 348, 576?

You can find a detailed procedure to find GCD of 282, 164, 348, 576 on our page.

3. How to find GCD of 282, 164, 348, 576 on a calculator?

You can find the GCD of 282, 164, 348, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.