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 774, 294, 921, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 294, 921, 182 is 1
GCD(774, 294, 921, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 294, 921, 182 is 1
GCD(774, 294, 921, 182) = 1
Given Input numbers are 774, 294, 921, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 774, 294, 921, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 294, 921, 182 is 1.
Therefore, GCD of numbers 774, 294, 921, 182 is 1
Given Input Data is 774, 294, 921, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 921 is 3 x 307
Prime Factorization of 182 is 2 x 7 x 13
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(774, 294) = 37926
GCD(774, 294) = ( 774 x 294 ) / 37926
GCD(774, 294) = 227556 / 37926
GCD(774, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 921) = 1842
GCD(6, 921) = ( 6 x 921 ) / 1842
GCD(6, 921) = 5526 / 1842
GCD(6, 921) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 182) = 546
GCD(3, 182) = ( 3 x 182 ) / 546
GCD(3, 182) = 546 / 546
GCD(3, 182) = 1
GCD of 774, 294, 921, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 294, 921, 182?
GCD of 774, 294, 921, 182 is 1
2. Where do I get the detailed procedure to find GCD of 774, 294, 921, 182?
You can find a detailed procedure to find GCD of 774, 294, 921, 182 on our page.
3. How to find GCD of 774, 294, 921, 182 on a calculator?
You can find the GCD of 774, 294, 921, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.