GCD of 126, 576, 146 Calculator

Given Input numbers are 126, 576, 146

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 126, 576, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 576, 146 is 2.

Therefore, GCD of numbers 126, 576, 146 is 2

Given Input Data is 126, 576, 146

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

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

Prime Factorization of 146 is 2 x 73

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(126, 576) = 4032

GCD(126, 576) = ( 126 x 576 ) / 4032

GCD(126, 576) = 72576 / 4032

GCD(126, 576) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 146

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

LCM(18, 146) = 1314

GCD(18, 146) = ( 18 x 146 ) / 1314

GCD(18, 146) = 2628 / 1314

GCD(18, 146) = 2

GCD of 126, 576, 146 is 2

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• GCD of 386, 386, 541
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1. What is the GCD of 126, 576, 146?

GCD of 126, 576, 146 is 2

2. Where do I get the detailed procedure to find GCD of 126, 576, 146?

You can find a detailed procedure to find GCD of 126, 576, 146 on our page.

3. How to find GCD of 126, 576, 146 on a calculator?

You can find the GCD of 126, 576, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.