GCD of 398, 697, 83, 821 Calculator

Given Input numbers are 398, 697, 83, 821

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 398, 697, 83, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 697, 83, 821 is 1.

Therefore, GCD of numbers 398, 697, 83, 821 is 1

Given Input Data is 398, 697, 83, 821

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 697 is 17 x 41

Prime Factorization of 83 is 83

Prime Factorization of 821 is 821

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(398, 697) = 277406

GCD(398, 697) = ( 398 x 697 ) / 277406

GCD(398, 697) = 277406 / 277406

GCD(398, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 398, 697, 83, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 977, 93, 774
• GCD of 594, 226, 41, 849
• GCD of 382, 827, 96, 132
• GCD of 440, 603, 12, 338
• GCD of 569, 754, 93, 303

1. What is the GCD of 398, 697, 83, 821?

GCD of 398, 697, 83, 821 is 1

2. Where do I get the detailed procedure to find GCD of 398, 697, 83, 821?

You can find a detailed procedure to find GCD of 398, 697, 83, 821 on our page.

3. How to find GCD of 398, 697, 83, 821 on a calculator?

You can find the GCD of 398, 697, 83, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.