GCD of 725, 684, 25, 759 Calculator

Given Input numbers are 725, 684, 25, 759

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 725, 684, 25, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 684, 25, 759 is 1.

Therefore, GCD of numbers 725, 684, 25, 759 is 1

Given Input Data is 725, 684, 25, 759

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 25 is 5 x 5

Prime Factorization of 759 is 3 x 11 x 23

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, 684) = 495900

GCD(725, 684) = ( 725 x 684 ) / 495900

GCD(725, 684) = 495900 / 495900

GCD(725, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 725, 684, 25, 759 is 1

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1. What is the GCD of 725, 684, 25, 759?

GCD of 725, 684, 25, 759 is 1

2. Where do I get the detailed procedure to find GCD of 725, 684, 25, 759?

You can find a detailed procedure to find GCD of 725, 684, 25, 759 on our page.

3. How to find GCD of 725, 684, 25, 759 on a calculator?

You can find the GCD of 725, 684, 25, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.