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 407, 278, 13, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 407, 278, 13, 894 is 1
GCD(407, 278, 13, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 407, 278, 13, 894 is 1
GCD(407, 278, 13, 894) = 1
Given Input numbers are 407, 278, 13, 894
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 407, 278, 13, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 278, 13, 894 is 1.
Therefore, GCD of numbers 407, 278, 13, 894 is 1
Given Input Data is 407, 278, 13, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 407 is 11 x 37
Prime Factorization of 278 is 2 x 139
Prime Factorization of 13 is 13
Prime Factorization of 894 is 2 x 3 x 149
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, 278) = 113146
GCD(407, 278) = ( 407 x 278 ) / 113146
GCD(407, 278) = 113146 / 113146
GCD(407, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 407, 278, 13, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 407, 278, 13, 894?
GCD of 407, 278, 13, 894 is 1
2. Where do I get the detailed procedure to find GCD of 407, 278, 13, 894?
You can find a detailed procedure to find GCD of 407, 278, 13, 894 on our page.
3. How to find GCD of 407, 278, 13, 894 on a calculator?
You can find the GCD of 407, 278, 13, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.