GCD of 458, 514, 738, 454 Calculator

Given Input numbers are 458, 514, 738, 454

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

Divisors of 458

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

1, 2, 229, 458

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 454

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

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 458, 514, 738, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 514, 738, 454 is 2.

Therefore, GCD of numbers 458, 514, 738, 454 is 2

Given Input Data is 458, 514, 738, 454

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 514 is 2 x 257

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 454 is 2 x 227

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(458, 514) = 117706

GCD(458, 514) = ( 458 x 514 ) / 117706

GCD(458, 514) = 235412 / 117706

GCD(458, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

GCD of 458, 514, 738, 454 is 2

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1. What is the GCD of 458, 514, 738, 454?

GCD of 458, 514, 738, 454 is 2

2. Where do I get the detailed procedure to find GCD of 458, 514, 738, 454?

You can find a detailed procedure to find GCD of 458, 514, 738, 454 on our page.

3. How to find GCD of 458, 514, 738, 454 on a calculator?

You can find the GCD of 458, 514, 738, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.