GCD of 414, 308, 867, 397 Calculator

Given Input numbers are 414, 308, 867, 397

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Greatest Common Divisior

We found the divisors of 414, 308, 867, 397 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 308, 867, 397 is 1.

Therefore, GCD of numbers 414, 308, 867, 397 is 1

Given Input Data is 414, 308, 867, 397

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 397 is 397

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(414, 308) = 63756

GCD(414, 308) = ( 414 x 308 ) / 63756

GCD(414, 308) = 127512 / 63756

GCD(414, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 867

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

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

GCD(2, 867) = 1734 / 1734

GCD(2, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

GCD of 414, 308, 867, 397 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 543, 362, 438
• GCD of 968, 825, 343, 271
• GCD of 470, 182, 401, 922
• GCD of 579, 503, 768, 948
• GCD of 492, 648, 597, 841

1. What is the GCD of 414, 308, 867, 397?

GCD of 414, 308, 867, 397 is 1

2. Where do I get the detailed procedure to find GCD of 414, 308, 867, 397?

You can find a detailed procedure to find GCD of 414, 308, 867, 397 on our page.

3. How to find GCD of 414, 308, 867, 397 on a calculator?

You can find the GCD of 414, 308, 867, 397 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.