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 812, 909, 362, 652 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 909, 362, 652 is 1
GCD(812, 909, 362, 652) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 909, 362, 652 is 1
GCD(812, 909, 362, 652) = 1
Given Input numbers are 812, 909, 362, 652
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Greatest Common Divisior
We found the divisors of 812, 909, 362, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 909, 362, 652 is 1.
Therefore, GCD of numbers 812, 909, 362, 652 is 1
Given Input Data is 812, 909, 362, 652
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 362 is 2 x 181
Prime Factorization of 652 is 2 x 2 x 163
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(812, 909) = 738108
GCD(812, 909) = ( 812 x 909 ) / 738108
GCD(812, 909) = 738108 / 738108
GCD(812, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 362
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 362) = 362
GCD(1, 362) = ( 1 x 362 ) / 362
GCD(1, 362) = 362 / 362
GCD(1, 362) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
GCD of 812, 909, 362, 652 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 909, 362, 652?
GCD of 812, 909, 362, 652 is 1
2. Where do I get the detailed procedure to find GCD of 812, 909, 362, 652?
You can find a detailed procedure to find GCD of 812, 909, 362, 652 on our page.
3. How to find GCD of 812, 909, 362, 652 on a calculator?
You can find the GCD of 812, 909, 362, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.