GCD of 426, 458, 42, 512 Calculator

Given Input numbers are 426, 458, 42, 512

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 426, 458, 42, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 458, 42, 512 is 2.

Therefore, GCD of numbers 426, 458, 42, 512 is 2

Given Input Data is 426, 458, 42, 512

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

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 458 is 2 x 229

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(426, 458) = 97554

GCD(426, 458) = ( 426 x 458 ) / 97554

GCD(426, 458) = 195108 / 97554

GCD(426, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 512

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

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

GCD(2, 512) = 1024 / 512

GCD(2, 512) = 2

GCD of 426, 458, 42, 512 is 2

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• GCD of 609, 705, 25, 843
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1. What is the GCD of 426, 458, 42, 512?

GCD of 426, 458, 42, 512 is 2

2. Where do I get the detailed procedure to find GCD of 426, 458, 42, 512?

You can find a detailed procedure to find GCD of 426, 458, 42, 512 on our page.

3. How to find GCD of 426, 458, 42, 512 on a calculator?

You can find the GCD of 426, 458, 42, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.