GCD of 42, 454, 576, 865 Calculator

Given Input numbers are 42, 454, 576, 865

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

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Greatest Common Divisior

We found the divisors of 42, 454, 576, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 454, 576, 865 is 1.

Therefore, GCD of numbers 42, 454, 576, 865 is 1

Given Input Data is 42, 454, 576, 865

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 454 is 2 x 227

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

Prime Factorization of 865 is 5 x 173

The above numbers do not have any common prime factor. So GCD is 1

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(42, 454) = 9534

GCD(42, 454) = ( 42 x 454 ) / 9534

GCD(42, 454) = 19068 / 9534

GCD(42, 454) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 865

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

LCM(2, 865) = 1730

GCD(2, 865) = ( 2 x 865 ) / 1730

GCD(2, 865) = 1730 / 1730

GCD(2, 865) = 1

GCD of 42, 454, 576, 865 is 1

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• GCD of 35, 526, 222, 735
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• GCD of 23, 445, 478, 973

1. What is the GCD of 42, 454, 576, 865?

GCD of 42, 454, 576, 865 is 1

2. Where do I get the detailed procedure to find GCD of 42, 454, 576, 865?

You can find a detailed procedure to find GCD of 42, 454, 576, 865 on our page.

3. How to find GCD of 42, 454, 576, 865 on a calculator?

You can find the GCD of 42, 454, 576, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.