GCD of 769, 309, 725 Calculator

Given Input numbers are 769, 309, 725

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 725

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

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 769, 309, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 309, 725 is 1.

Therefore, GCD of numbers 769, 309, 725 is 1

Given Input Data is 769, 309, 725

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

Prime Factorization of 769 is 769

Prime Factorization of 309 is 3 x 103

Prime Factorization of 725 is 5 x 5 x 29

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(769, 309) = 237621

GCD(769, 309) = ( 769 x 309 ) / 237621

GCD(769, 309) = 237621 / 237621

GCD(769, 309) = 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

GCD of 769, 309, 725 is 1

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1. What is the GCD of 769, 309, 725?

GCD of 769, 309, 725 is 1

2. Where do I get the detailed procedure to find GCD of 769, 309, 725?

You can find a detailed procedure to find GCD of 769, 309, 725 on our page.

3. How to find GCD of 769, 309, 725 on a calculator?

You can find the GCD of 769, 309, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.