GCD of 725, 460, 78, 457 Calculator

Given Input numbers are 725, 460, 78, 457

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

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 725, 460, 78, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 460, 78, 457 is 1.

Therefore, GCD of numbers 725, 460, 78, 457 is 1

Given Input Data is 725, 460, 78, 457

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 457 is 457

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(725, 460) = 66700

GCD(725, 460) = ( 725 x 460 ) / 66700

GCD(725, 460) = 333500 / 66700

GCD(725, 460) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 78

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

LCM(5, 78) = 390

GCD(5, 78) = ( 5 x 78 ) / 390

GCD(5, 78) = 390 / 390

GCD(5, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 725, 460, 78, 457 is 1

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• GCD of 576, 654, 64, 856
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1. What is the GCD of 725, 460, 78, 457?

GCD of 725, 460, 78, 457 is 1

2. Where do I get the detailed procedure to find GCD of 725, 460, 78, 457?

You can find a detailed procedure to find GCD of 725, 460, 78, 457 on our page.

3. How to find GCD of 725, 460, 78, 457 on a calculator?

You can find the GCD of 725, 460, 78, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.