Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 394, 448, 56, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 448, 56, 201 is 1
GCD(394, 448, 56, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 448, 56, 201 is 1
GCD(394, 448, 56, 201) = 1
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.
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.