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, 294, 163, 730 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 294, 163, 730 is 1
GCD(894, 294, 163, 730) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 294, 163, 730 is 1
GCD(894, 294, 163, 730) = 1
Given Input numbers are 894, 294, 163, 730
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 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 163
List of positive integer divisors of 163 that divides 163 without a remainder.
1, 163
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Greatest Common Divisior
We found the divisors of 894, 294, 163, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 294, 163, 730 is 1.
Therefore, GCD of numbers 894, 294, 163, 730 is 1
Given Input Data is 894, 294, 163, 730
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 294 is 2 x 3 x 7 x 7
Prime Factorization of 163 is 163
Prime Factorization of 730 is 2 x 5 x 73
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, 294) = 43806
GCD(894, 294) = ( 894 x 294 ) / 43806
GCD(894, 294) = 262836 / 43806
GCD(894, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 163
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 163) = 978
GCD(6, 163) = ( 6 x 163 ) / 978
GCD(6, 163) = 978 / 978
GCD(6, 163) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 730) = 730
GCD(1, 730) = ( 1 x 730 ) / 730
GCD(1, 730) = 730 / 730
GCD(1, 730) = 1
GCD of 894, 294, 163, 730 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 294, 163, 730?
GCD of 894, 294, 163, 730 is 1
2. Where do I get the detailed procedure to find GCD of 894, 294, 163, 730?
You can find a detailed procedure to find GCD of 894, 294, 163, 730 on our page.
3. How to find GCD of 894, 294, 163, 730 on a calculator?
You can find the GCD of 894, 294, 163, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.