GCD of 725, 595, 689, 648 Calculator

Given Input numbers are 725, 595, 689, 648

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 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 725, 595, 689, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 595, 689, 648 is 1.

Therefore, GCD of numbers 725, 595, 689, 648 is 1

Given Input Data is 725, 595, 689, 648

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 595 is 5 x 7 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 595) = 86275

GCD(725, 595) = ( 725 x 595 ) / 86275

GCD(725, 595) = 431375 / 86275

GCD(725, 595) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 689

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

LCM(5, 689) = 3445

GCD(5, 689) = ( 5 x 689 ) / 3445

GCD(5, 689) = 3445 / 3445

GCD(5, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 725, 595, 689, 648 is 1

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1. What is the GCD of 725, 595, 689, 648?

GCD of 725, 595, 689, 648 is 1

2. Where do I get the detailed procedure to find GCD of 725, 595, 689, 648?

You can find a detailed procedure to find GCD of 725, 595, 689, 648 on our page.

3. How to find GCD of 725, 595, 689, 648 on a calculator?

You can find the GCD of 725, 595, 689, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.