GCD of 725, 718, 52, 456 Calculator

Given Input numbers are 725, 718, 52, 456

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 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 725, 718, 52, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 718, 52, 456 is 1.

Therefore, GCD of numbers 725, 718, 52, 456 is 1

Given Input Data is 725, 718, 52, 456

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 718 is 2 x 359

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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, 718) = 520550

GCD(725, 718) = ( 725 x 718 ) / 520550

GCD(725, 718) = 520550 / 520550

GCD(725, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

GCD of 725, 718, 52, 456 is 1

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1. What is the GCD of 725, 718, 52, 456?

GCD of 725, 718, 52, 456 is 1

2. Where do I get the detailed procedure to find GCD of 725, 718, 52, 456?

You can find a detailed procedure to find GCD of 725, 718, 52, 456 on our page.

3. How to find GCD of 725, 718, 52, 456 on a calculator?

You can find the GCD of 725, 718, 52, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.