GCD of 783, 233, 398, 138 Calculator

Given Input numbers are 783, 233, 398, 138

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

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 783, 233, 398, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 233, 398, 138 is 1.

Therefore, GCD of numbers 783, 233, 398, 138 is 1

Given Input Data is 783, 233, 398, 138

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

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 233 is 233

Prime Factorization of 398 is 2 x 199

Prime Factorization of 138 is 2 x 3 x 23

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(783, 233) = 182439

GCD(783, 233) = ( 783 x 233 ) / 182439

GCD(783, 233) = 182439 / 182439

GCD(783, 233) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 783, 233, 398, 138 is 1

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1. What is the GCD of 783, 233, 398, 138?

GCD of 783, 233, 398, 138 is 1

2. Where do I get the detailed procedure to find GCD of 783, 233, 398, 138?

You can find a detailed procedure to find GCD of 783, 233, 398, 138 on our page.

3. How to find GCD of 783, 233, 398, 138 on a calculator?

You can find the GCD of 783, 233, 398, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.