GCD of 394, 448, 56, 201 Calculator

Given Input numbers are 394, 448, 56, 201

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 201

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

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 394, 448, 56, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 448, 56, 201 is 1.

Therefore, GCD of numbers 394, 448, 56, 201 is 1

Given Input Data is 394, 448, 56, 201

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

Prime Factorization of 394 is 2 x 197

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 201 is 3 x 67

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(394, 448) = 88256

GCD(394, 448) = ( 394 x 448 ) / 88256

GCD(394, 448) = 176512 / 88256

GCD(394, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 201

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

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

GCD(2, 201) = 402 / 402

GCD(2, 201) = 1

GCD of 394, 448, 56, 201 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 524, 15, 645
• GCD of 247, 534, 22, 868
• GCD of 798, 616, 52, 185
• GCD of 925, 980, 56, 657
• GCD of 546, 453, 84, 507

1. What is the GCD of 394, 448, 56, 201?

GCD of 394, 448, 56, 201 is 1

2. Where do I get the detailed procedure to find GCD of 394, 448, 56, 201?

You can find a detailed procedure to find GCD of 394, 448, 56, 201 on our page.

3. How to find GCD of 394, 448, 56, 201 on a calculator?

You can find the GCD of 394, 448, 56, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.