GCD of 688, 590, 86, 394 Calculator

Given Input numbers are 688, 590, 86, 394

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

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 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Greatest Common Divisior

We found the divisors of 688, 590, 86, 394 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 590, 86, 394 is 2.

Therefore, GCD of numbers 688, 590, 86, 394 is 2

Given Input Data is 688, 590, 86, 394

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

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 86 is 2 x 43

Prime Factorization of 394 is 2 x 197

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(688, 590) = 202960

GCD(688, 590) = ( 688 x 590 ) / 202960

GCD(688, 590) = 405920 / 202960

GCD(688, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 394

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

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

GCD(2, 394) = 788 / 394

GCD(2, 394) = 2

GCD of 688, 590, 86, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 604, 21, 433
• GCD of 762, 414, 55, 231
• GCD of 230, 650, 85, 634
• GCD of 430, 299, 57, 409
• GCD of 204, 801, 10, 525

1. What is the GCD of 688, 590, 86, 394?

GCD of 688, 590, 86, 394 is 2

2. Where do I get the detailed procedure to find GCD of 688, 590, 86, 394?

You can find a detailed procedure to find GCD of 688, 590, 86, 394 on our page.

3. How to find GCD of 688, 590, 86, 394 on a calculator?

You can find the GCD of 688, 590, 86, 394 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.