GCD of 407, 664, 48, 463 Calculator

Given Input numbers are 407, 664, 48, 463

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 463

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

1, 463

Greatest Common Divisior

We found the divisors of 407, 664, 48, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 664, 48, 463 is 1.

Therefore, GCD of numbers 407, 664, 48, 463 is 1

Given Input Data is 407, 664, 48, 463

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Prime Factorization of 463 is 463

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(407, 664) = 270248

GCD(407, 664) = ( 407 x 664 ) / 270248

GCD(407, 664) = 270248 / 270248

GCD(407, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

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

GCD of 407, 664, 48, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 350, 36, 448
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• GCD of 734, 919, 73, 579
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• GCD of 615, 453, 34, 662

1. What is the GCD of 407, 664, 48, 463?

GCD of 407, 664, 48, 463 is 1

2. Where do I get the detailed procedure to find GCD of 407, 664, 48, 463?

You can find a detailed procedure to find GCD of 407, 664, 48, 463 on our page.

3. How to find GCD of 407, 664, 48, 463 on a calculator?

You can find the GCD of 407, 664, 48, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.