GCD of 782, 731, 14, 194 Calculator

Given Input numbers are 782, 731, 14, 194

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 194

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

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 782, 731, 14, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 731, 14, 194 is 1.

Therefore, GCD of numbers 782, 731, 14, 194 is 1

Given Input Data is 782, 731, 14, 194

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 731 is 17 x 43

Prime Factorization of 14 is 2 x 7

Prime Factorization of 194 is 2 x 97

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, 731) = 33626

GCD(782, 731) = ( 782 x 731 ) / 33626

GCD(782, 731) = 571642 / 33626

GCD(782, 731) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 14

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

LCM(17, 14) = 238

GCD(17, 14) = ( 17 x 14 ) / 238

GCD(17, 14) = 238 / 238

GCD(17, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 782, 731, 14, 194 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 179, 16, 869
• GCD of 703, 238, 72, 490
• GCD of 206, 361, 42, 401
• GCD of 314, 714, 83, 716
• GCD of 503, 131, 83, 189

1. What is the GCD of 782, 731, 14, 194?

GCD of 782, 731, 14, 194 is 1

2. Where do I get the detailed procedure to find GCD of 782, 731, 14, 194?

You can find a detailed procedure to find GCD of 782, 731, 14, 194 on our page.

3. How to find GCD of 782, 731, 14, 194 on a calculator?

You can find the GCD of 782, 731, 14, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.