GCD of 682, 508, 597, 803 Calculator

Given Input numbers are 682, 508, 597, 803

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 682, 508, 597, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 508, 597, 803 is 1.

Therefore, GCD of numbers 682, 508, 597, 803 is 1

Given Input Data is 682, 508, 597, 803

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 597 is 3 x 199

Prime Factorization of 803 is 11 x 73

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(682, 508) = 173228

GCD(682, 508) = ( 682 x 508 ) / 173228

GCD(682, 508) = 346456 / 173228

GCD(682, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 682, 508, 597, 803 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 114, 780, 379
• GCD of 219, 597, 819, 283
• GCD of 598, 475, 620, 762
• GCD of 471, 921, 967, 785
• GCD of 682, 847, 917, 675

1. What is the GCD of 682, 508, 597, 803?

GCD of 682, 508, 597, 803 is 1

2. Where do I get the detailed procedure to find GCD of 682, 508, 597, 803?

You can find a detailed procedure to find GCD of 682, 508, 597, 803 on our page.

3. How to find GCD of 682, 508, 597, 803 on a calculator?

You can find the GCD of 682, 508, 597, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.