GCD of 769, 901, 365, 728 Calculator

Given Input numbers are 769, 901, 365, 728

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 769, 901, 365, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 901, 365, 728 is 1.

Therefore, GCD of numbers 769, 901, 365, 728 is 1

Given Input Data is 769, 901, 365, 728

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

Prime Factorization of 769 is 769

Prime Factorization of 901 is 17 x 53

Prime Factorization of 365 is 5 x 73

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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, 901) = 692869

GCD(769, 901) = ( 769 x 901 ) / 692869

GCD(769, 901) = 692869 / 692869

GCD(769, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 769, 901, 365, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 548, 913, 384
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• GCD of 826, 339, 672, 891

1. What is the GCD of 769, 901, 365, 728?

GCD of 769, 901, 365, 728 is 1

2. Where do I get the detailed procedure to find GCD of 769, 901, 365, 728?

You can find a detailed procedure to find GCD of 769, 901, 365, 728 on our page.

3. How to find GCD of 769, 901, 365, 728 on a calculator?

You can find the GCD of 769, 901, 365, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.