GCD of 795, 309, 578, 746 Calculator

Given Input numbers are 795, 309, 578, 746

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

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 309

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

1, 3, 103, 309

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 795, 309, 578, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 795, 309, 578, 746 is 1.

Therefore, GCD of numbers 795, 309, 578, 746 is 1

Given Input Data is 795, 309, 578, 746

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

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 309 is 3 x 103

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 746 is 2 x 373

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(795, 309) = 81885

GCD(795, 309) = ( 795 x 309 ) / 81885

GCD(795, 309) = 245655 / 81885

GCD(795, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 578

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

LCM(3, 578) = 1734

GCD(3, 578) = ( 3 x 578 ) / 1734

GCD(3, 578) = 1734 / 1734

GCD(3, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 795, 309, 578, 746 is 1

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1. What is the GCD of 795, 309, 578, 746?

GCD of 795, 309, 578, 746 is 1

2. Where do I get the detailed procedure to find GCD of 795, 309, 578, 746?

You can find a detailed procedure to find GCD of 795, 309, 578, 746 on our page.

3. How to find GCD of 795, 309, 578, 746 on a calculator?

You can find the GCD of 795, 309, 578, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.