GCD of 289, 812, 725, 736 Calculator

Given Input numbers are 289, 812, 725, 736

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 725

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

1, 5, 25, 29, 145, 725

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 289, 812, 725, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 812, 725, 736 is 1.

Therefore, GCD of numbers 289, 812, 725, 736 is 1

Given Input Data is 289, 812, 725, 736

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 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(289, 812) = 234668

GCD(289, 812) = ( 289 x 812 ) / 234668

GCD(289, 812) = 234668 / 234668

GCD(289, 812) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 289, 812, 725, 736 is 1

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1. What is the GCD of 289, 812, 725, 736?

GCD of 289, 812, 725, 736 is 1

2. Where do I get the detailed procedure to find GCD of 289, 812, 725, 736?

You can find a detailed procedure to find GCD of 289, 812, 725, 736 on our page.

3. How to find GCD of 289, 812, 725, 736 on a calculator?

You can find the GCD of 289, 812, 725, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.