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, 828, 45, 362 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 828, 45, 362 is 1
GCD(812, 828, 45, 362) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 828, 45, 362 is 1
GCD(812, 828, 45, 362) = 1
Given Input numbers are 812, 828, 45, 362
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 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Greatest Common Divisior
We found the divisors of 812, 828, 45, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 828, 45, 362 is 1.
Therefore, GCD of numbers 812, 828, 45, 362 is 1
Given Input Data is 812, 828, 45, 362
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 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 362 is 2 x 181
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, 828) = 168084
GCD(812, 828) = ( 812 x 828 ) / 168084
GCD(812, 828) = 672336 / 168084
GCD(812, 828) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 45) = 180
GCD(4, 45) = ( 4 x 45 ) / 180
GCD(4, 45) = 180 / 180
GCD(4, 45) = 1
Step3:
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
GCD of 812, 828, 45, 362 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 828, 45, 362?
GCD of 812, 828, 45, 362 is 1
2. Where do I get the detailed procedure to find GCD of 812, 828, 45, 362?
You can find a detailed procedure to find GCD of 812, 828, 45, 362 on our page.
3. How to find GCD of 812, 828, 45, 362 on a calculator?
You can find the GCD of 812, 828, 45, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.