GCD of 769, 359, 38, 305 Calculator

Given Input numbers are 769, 359, 38, 305

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 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 769, 359, 38, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 359, 38, 305 is 1.

Therefore, GCD of numbers 769, 359, 38, 305 is 1

Given Input Data is 769, 359, 38, 305

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

Prime Factorization of 769 is 769

Prime Factorization of 359 is 359

Prime Factorization of 38 is 2 x 19

Prime Factorization of 305 is 5 x 61

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, 359) = 276071

GCD(769, 359) = ( 769 x 359 ) / 276071

GCD(769, 359) = 276071 / 276071

GCD(769, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 769, 359, 38, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 501, 240, 60, 515
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• GCD of 172, 919, 88, 369

1. What is the GCD of 769, 359, 38, 305?

GCD of 769, 359, 38, 305 is 1

2. Where do I get the detailed procedure to find GCD of 769, 359, 38, 305?

You can find a detailed procedure to find GCD of 769, 359, 38, 305 on our page.

3. How to find GCD of 769, 359, 38, 305 on a calculator?

You can find the GCD of 769, 359, 38, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.