GCD of 782, 194, 309, 248 Calculator

Given Input numbers are 782, 194, 309, 248

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 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 309

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

1, 3, 103, 309

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 782, 194, 309, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 194, 309, 248 is 1.

Therefore, GCD of numbers 782, 194, 309, 248 is 1

Given Input Data is 782, 194, 309, 248

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 194 is 2 x 97

Prime Factorization of 309 is 3 x 103

Prime Factorization of 248 is 2 x 2 x 2 x 31

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, 194) = 75854

GCD(782, 194) = ( 782 x 194 ) / 75854

GCD(782, 194) = 151708 / 75854

GCD(782, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

GCD of 782, 194, 309, 248 is 1

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1. What is the GCD of 782, 194, 309, 248?

GCD of 782, 194, 309, 248 is 1

2. Where do I get the detailed procedure to find GCD of 782, 194, 309, 248?

You can find a detailed procedure to find GCD of 782, 194, 309, 248 on our page.

3. How to find GCD of 782, 194, 309, 248 on a calculator?

You can find the GCD of 782, 194, 309, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.