GCD of 789, 340, 269, 348 Calculator

Given Input numbers are 789, 340, 269, 348

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 269

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

1, 269

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 789, 340, 269, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 340, 269, 348 is 1.

Therefore, GCD of numbers 789, 340, 269, 348 is 1

Given Input Data is 789, 340, 269, 348

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 269 is 269

Prime Factorization of 348 is 2 x 2 x 3 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(789, 340) = 268260

GCD(789, 340) = ( 789 x 340 ) / 268260

GCD(789, 340) = 268260 / 268260

GCD(789, 340) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 789, 340, 269, 348 is 1

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1. What is the GCD of 789, 340, 269, 348?

GCD of 789, 340, 269, 348 is 1

2. Where do I get the detailed procedure to find GCD of 789, 340, 269, 348?

You can find a detailed procedure to find GCD of 789, 340, 269, 348 on our page.

3. How to find GCD of 789, 340, 269, 348 on a calculator?

You can find the GCD of 789, 340, 269, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.