GCD of 48, 413, 463, 964 Calculator

Given Input numbers are 48, 413, 463, 964

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 463

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

1, 463

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 48, 413, 463, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 413, 463, 964 is 1.

Therefore, GCD of numbers 48, 413, 463, 964 is 1

Given Input Data is 48, 413, 463, 964

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 413 is 7 x 59

Prime Factorization of 463 is 463

Prime Factorization of 964 is 2 x 2 x 241

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(48, 413) = 19824

GCD(48, 413) = ( 48 x 413 ) / 19824

GCD(48, 413) = 19824 / 19824

GCD(48, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 48, 413, 463, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 930, 403, 354
• GCD of 90, 723, 491, 416
• GCD of 66, 655, 383, 176
• GCD of 26, 861, 403, 695
• GCD of 71, 389, 870, 526

1. What is the GCD of 48, 413, 463, 964?

GCD of 48, 413, 463, 964 is 1

2. Where do I get the detailed procedure to find GCD of 48, 413, 463, 964?

You can find a detailed procedure to find GCD of 48, 413, 463, 964 on our page.

3. How to find GCD of 48, 413, 463, 964 on a calculator?

You can find the GCD of 48, 413, 463, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.