GCD of 463, 309, 961, 412 Calculator

Given Input numbers are 463, 309, 961, 412

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 463, 309, 961, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 309, 961, 412 is 1.

Therefore, GCD of numbers 463, 309, 961, 412 is 1

Given Input Data is 463, 309, 961, 412

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

Prime Factorization of 463 is 463

Prime Factorization of 309 is 3 x 103

Prime Factorization of 961 is 31 x 31

Prime Factorization of 412 is 2 x 2 x 103

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(463, 309) = 143067

GCD(463, 309) = ( 463 x 309 ) / 143067

GCD(463, 309) = 143067 / 143067

GCD(463, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 463, 309, 961, 412 is 1

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• GCD of 491, 910, 987, 655
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• GCD of 741, 492, 483, 410

1. What is the GCD of 463, 309, 961, 412?

GCD of 463, 309, 961, 412 is 1

2. Where do I get the detailed procedure to find GCD of 463, 309, 961, 412?

You can find a detailed procedure to find GCD of 463, 309, 961, 412 on our page.

3. How to find GCD of 463, 309, 961, 412 on a calculator?

You can find the GCD of 463, 309, 961, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.