GCD of 462, 243, 412, 961 Calculator

Given Input numbers are 462, 243, 412, 961

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 462, 243, 412, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 243, 412, 961 is 1.

Therefore, GCD of numbers 462, 243, 412, 961 is 1

Given Input Data is 462, 243, 412, 961

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 961 is 31 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(462, 243) = 37422

GCD(462, 243) = ( 462 x 243 ) / 37422

GCD(462, 243) = 112266 / 37422

GCD(462, 243) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 412

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

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

GCD(3, 412) = 1236 / 1236

GCD(3, 412) = 1

Step3:

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

GCD of 462, 243, 412, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 185, 758, 106
• GCD of 422, 928, 920, 784
• GCD of 751, 367, 974, 742
• GCD of 579, 982, 834, 543
• GCD of 661, 763, 967, 314

1. What is the GCD of 462, 243, 412, 961?

GCD of 462, 243, 412, 961 is 1

2. Where do I get the detailed procedure to find GCD of 462, 243, 412, 961?

You can find a detailed procedure to find GCD of 462, 243, 412, 961 on our page.

3. How to find GCD of 462, 243, 412, 961 on a calculator?

You can find the GCD of 462, 243, 412, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.