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 412, 774, 651, 902 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 774, 651, 902 is 1
GCD(412, 774, 651, 902) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 774, 651, 902 is 1
GCD(412, 774, 651, 902) = 1
Given Input numbers are 412, 774, 651, 902
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
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 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 412, 774, 651, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 774, 651, 902 is 1.
Therefore, GCD of numbers 412, 774, 651, 902 is 1
Given Input Data is 412, 774, 651, 902
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 902 is 2 x 11 x 41
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(412, 774) = 159444
GCD(412, 774) = ( 412 x 774 ) / 159444
GCD(412, 774) = 318888 / 159444
GCD(412, 774) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 651) = 1302
GCD(2, 651) = ( 2 x 651 ) / 1302
GCD(2, 651) = 1302 / 1302
GCD(2, 651) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
GCD(1, 902) = 902 / 902
GCD(1, 902) = 1
GCD of 412, 774, 651, 902 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 774, 651, 902?
GCD of 412, 774, 651, 902 is 1
2. Where do I get the detailed procedure to find GCD of 412, 774, 651, 902?
You can find a detailed procedure to find GCD of 412, 774, 651, 902 on our page.
3. How to find GCD of 412, 774, 651, 902 on a calculator?
You can find the GCD of 412, 774, 651, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.