GCD of 786, 338, 688, 683 Calculator

Given Input numbers are 786, 338, 688, 683

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

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 786, 338, 688, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 338, 688, 683 is 1.

Therefore, GCD of numbers 786, 338, 688, 683 is 1

Given Input Data is 786, 338, 688, 683

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

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 683 is 683

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(786, 338) = 132834

GCD(786, 338) = ( 786 x 338 ) / 132834

GCD(786, 338) = 265668 / 132834

GCD(786, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 786, 338, 688, 683 is 1

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1. What is the GCD of 786, 338, 688, 683?

GCD of 786, 338, 688, 683 is 1

2. Where do I get the detailed procedure to find GCD of 786, 338, 688, 683?

You can find a detailed procedure to find GCD of 786, 338, 688, 683 on our page.

3. How to find GCD of 786, 338, 688, 683 on a calculator?

You can find the GCD of 786, 338, 688, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.