GCD of 197, 369, 315, 814 Calculator

Given Input numbers are 197, 369, 315, 814

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

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 197, 369, 315, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 369, 315, 814 is 1.

Therefore, GCD of numbers 197, 369, 315, 814 is 1

Given Input Data is 197, 369, 315, 814

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

Prime Factorization of 197 is 197

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 814 is 2 x 11 x 37

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(197, 369) = 72693

GCD(197, 369) = ( 197 x 369 ) / 72693

GCD(197, 369) = 72693 / 72693

GCD(197, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 197, 369, 315, 814 is 1

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• GCD of 135, 765, 475, 951
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1. What is the GCD of 197, 369, 315, 814?

GCD of 197, 369, 315, 814 is 1

2. Where do I get the detailed procedure to find GCD of 197, 369, 315, 814?

You can find a detailed procedure to find GCD of 197, 369, 315, 814 on our page.

3. How to find GCD of 197, 369, 315, 814 on a calculator?

You can find the GCD of 197, 369, 315, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.