GCD of 533, 725, 738, 458 Calculator

Given Input numbers are 533, 725, 738, 458

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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 458

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

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 533, 725, 738, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 725, 738, 458 is 1.

Therefore, GCD of numbers 533, 725, 738, 458 is 1

Given Input Data is 533, 725, 738, 458

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 725 is 5 x 5 x 29

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

Prime Factorization of 458 is 2 x 229

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(533, 725) = 386425

GCD(533, 725) = ( 533 x 725 ) / 386425

GCD(533, 725) = 386425 / 386425

GCD(533, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 533, 725, 738, 458 is 1

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1. What is the GCD of 533, 725, 738, 458?

GCD of 533, 725, 738, 458 is 1

2. Where do I get the detailed procedure to find GCD of 533, 725, 738, 458?

You can find a detailed procedure to find GCD of 533, 725, 738, 458 on our page.

3. How to find GCD of 533, 725, 738, 458 on a calculator?

You can find the GCD of 533, 725, 738, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.