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 67, 394, 913, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 67, 394, 913, 398 is 1
GCD(67, 394, 913, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 67, 394, 913, 398 is 1
GCD(67, 394, 913, 398) = 1
Given Input numbers are 67, 394, 913, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 67, 394, 913, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 394, 913, 398 is 1.
Therefore, GCD of numbers 67, 394, 913, 398 is 1
Given Input Data is 67, 394, 913, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 67 is 67
Prime Factorization of 394 is 2 x 197
Prime Factorization of 913 is 11 x 83
Prime Factorization of 398 is 2 x 199
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(67, 394) = 26398
GCD(67, 394) = ( 67 x 394 ) / 26398
GCD(67, 394) = 26398 / 26398
GCD(67, 394) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 67, 394, 913, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 67, 394, 913, 398?
GCD of 67, 394, 913, 398 is 1
2. Where do I get the detailed procedure to find GCD of 67, 394, 913, 398?
You can find a detailed procedure to find GCD of 67, 394, 913, 398 on our page.
3. How to find GCD of 67, 394, 913, 398 on a calculator?
You can find the GCD of 67, 394, 913, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.