GCD of 659, 794, 508, 708 Calculator

Given Input numbers are 659, 794, 508, 708

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 659, 794, 508, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 794, 508, 708 is 1.

Therefore, GCD of numbers 659, 794, 508, 708 is 1

Given Input Data is 659, 794, 508, 708

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

Prime Factorization of 659 is 659

Prime Factorization of 794 is 2 x 397

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(659, 794) = 523246

GCD(659, 794) = ( 659 x 794 ) / 523246

GCD(659, 794) = 523246 / 523246

GCD(659, 794) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 659, 794, 508, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 333, 725, 824
• GCD of 914, 446, 835, 757
• GCD of 201, 309, 983, 259
• GCD of 709, 337, 888, 343
• GCD of 794, 516, 179, 237

1. What is the GCD of 659, 794, 508, 708?

GCD of 659, 794, 508, 708 is 1

2. Where do I get the detailed procedure to find GCD of 659, 794, 508, 708?

You can find a detailed procedure to find GCD of 659, 794, 508, 708 on our page.

3. How to find GCD of 659, 794, 508, 708 on a calculator?

You can find the GCD of 659, 794, 508, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.