GCD of 731, 738, 625, 458 Calculator

Given Input numbers are 731, 738, 625, 458

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

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

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 731, 738, 625, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 738, 625, 458 is 1.

Therefore, GCD of numbers 731, 738, 625, 458 is 1

Given Input Data is 731, 738, 625, 458

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

Prime Factorization of 731 is 17 x 43

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

Prime Factorization of 625 is 5 x 5 x 5 x 5

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(731, 738) = 539478

GCD(731, 738) = ( 731 x 738 ) / 539478

GCD(731, 738) = 539478 / 539478

GCD(731, 738) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 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 731, 738, 625, 458 is 1

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1. What is the GCD of 731, 738, 625, 458?

GCD of 731, 738, 625, 458 is 1

2. Where do I get the detailed procedure to find GCD of 731, 738, 625, 458?

You can find a detailed procedure to find GCD of 731, 738, 625, 458 on our page.

3. How to find GCD of 731, 738, 625, 458 on a calculator?

You can find the GCD of 731, 738, 625, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.