GCD of 12, 968, 409, 434 Calculator

Given Input numbers are 12, 968, 409, 434

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

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 12, 968, 409, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 968, 409, 434 is 1.

Therefore, GCD of numbers 12, 968, 409, 434 is 1

Given Input Data is 12, 968, 409, 434

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 409 is 409

Prime Factorization of 434 is 2 x 7 x 31

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(12, 968) = 2904

GCD(12, 968) = ( 12 x 968 ) / 2904

GCD(12, 968) = 11616 / 2904

GCD(12, 968) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 409

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

LCM(4, 409) = 1636

GCD(4, 409) = ( 4 x 409 ) / 1636

GCD(4, 409) = 1636 / 1636

GCD(4, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 12, 968, 409, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 134, 407, 385
• GCD of 26, 404, 509, 805
• GCD of 71, 639, 178, 386
• GCD of 62, 713, 160, 999
• GCD of 64, 292, 459, 814

1. What is the GCD of 12, 968, 409, 434?

GCD of 12, 968, 409, 434 is 1

2. Where do I get the detailed procedure to find GCD of 12, 968, 409, 434?

You can find a detailed procedure to find GCD of 12, 968, 409, 434 on our page.

3. How to find GCD of 12, 968, 409, 434 on a calculator?

You can find the GCD of 12, 968, 409, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.