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 894, 908, 740, 897 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 908, 740, 897 is 1
GCD(894, 908, 740, 897) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 908, 740, 897 is 1
GCD(894, 908, 740, 897) = 1
Given Input numbers are 894, 908, 740, 897
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Greatest Common Divisior
We found the divisors of 894, 908, 740, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 908, 740, 897 is 1.
Therefore, GCD of numbers 894, 908, 740, 897 is 1
Given Input Data is 894, 908, 740, 897
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 897 is 3 x 13 x 23
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(894, 908) = 405876
GCD(894, 908) = ( 894 x 908 ) / 405876
GCD(894, 908) = 811752 / 405876
GCD(894, 908) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 740
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 740) = 740
GCD(2, 740) = ( 2 x 740 ) / 740
GCD(2, 740) = 1480 / 740
GCD(2, 740) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 897) = 1794
GCD(2, 897) = ( 2 x 897 ) / 1794
GCD(2, 897) = 1794 / 1794
GCD(2, 897) = 1
GCD of 894, 908, 740, 897 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 908, 740, 897?
GCD of 894, 908, 740, 897 is 1
2. Where do I get the detailed procedure to find GCD of 894, 908, 740, 897?
You can find a detailed procedure to find GCD of 894, 908, 740, 897 on our page.
3. How to find GCD of 894, 908, 740, 897 on a calculator?
You can find the GCD of 894, 908, 740, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.