GCD of 448, 201, 409, 463 Calculator

Given Input numbers are 448, 201, 409, 463

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 409

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

1, 409

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 448, 201, 409, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 201, 409, 463 is 1.

Therefore, GCD of numbers 448, 201, 409, 463 is 1

Given Input Data is 448, 201, 409, 463

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

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 201 is 3 x 67

Prime Factorization of 409 is 409

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(448, 201) = 90048

GCD(448, 201) = ( 448 x 201 ) / 90048

GCD(448, 201) = 90048 / 90048

GCD(448, 201) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 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 448, 201, 409, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 619, 469, 111
• GCD of 776, 171, 993, 808
• GCD of 787, 571, 162, 821
• GCD of 566, 137, 783, 417
• GCD of 105, 598, 344, 496

1. What is the GCD of 448, 201, 409, 463?

GCD of 448, 201, 409, 463 is 1

2. Where do I get the detailed procedure to find GCD of 448, 201, 409, 463?

You can find a detailed procedure to find GCD of 448, 201, 409, 463 on our page.

3. How to find GCD of 448, 201, 409, 463 on a calculator?

You can find the GCD of 448, 201, 409, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.