GCD of 782, 793, 269 Calculator

Given Input numbers are 782, 793, 269

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 782, 793, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 793, 269 is 1.

Therefore, GCD of numbers 782, 793, 269 is 1

Given Input Data is 782, 793, 269

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 793 is 13 x 61

Prime Factorization of 269 is 269

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(782, 793) = 620126

GCD(782, 793) = ( 782 x 793 ) / 620126

GCD(782, 793) = 620126 / 620126

GCD(782, 793) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 782, 793, 269 is 1

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1. What is the GCD of 782, 793, 269?

GCD of 782, 793, 269 is 1

2. Where do I get the detailed procedure to find GCD of 782, 793, 269?

You can find a detailed procedure to find GCD of 782, 793, 269 on our page.

3. How to find GCD of 782, 793, 269 on a calculator?

You can find the GCD of 782, 793, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.