GCD of 814, 198, 83, 345 Calculator

Given Input numbers are 814, 198, 83, 345

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

Divisors of 814

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

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

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 83

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

1, 83

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 814, 198, 83, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 198, 83, 345 is 1.

Therefore, GCD of numbers 814, 198, 83, 345 is 1

Given Input Data is 814, 198, 83, 345

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 83 is 83

Prime Factorization of 345 is 3 x 5 x 23

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(814, 198) = 7326

GCD(814, 198) = ( 814 x 198 ) / 7326

GCD(814, 198) = 161172 / 7326

GCD(814, 198) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 83

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

LCM(22, 83) = 1826

GCD(22, 83) = ( 22 x 83 ) / 1826

GCD(22, 83) = 1826 / 1826

GCD(22, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 814, 198, 83, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 969, 74, 593
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• GCD of 942, 342, 64, 618
• GCD of 622, 318, 68, 651

1. What is the GCD of 814, 198, 83, 345?

GCD of 814, 198, 83, 345 is 1

2. Where do I get the detailed procedure to find GCD of 814, 198, 83, 345?

You can find a detailed procedure to find GCD of 814, 198, 83, 345 on our page.

3. How to find GCD of 814, 198, 83, 345 on a calculator?

You can find the GCD of 814, 198, 83, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.