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, 822, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 412, 822, 945 is 1
GCD(412, 822, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 412, 822, 945 is 1
GCD(412, 822, 945) = 1
Given Input numbers are 412, 822, 945
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 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 412, 822, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 822, 945 is 1.
Therefore, GCD of numbers 412, 822, 945 is 1
Given Input Data is 412, 822, 945
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 822 is 2 x 3 x 137
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
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, 822) = 169332
GCD(412, 822) = ( 412 x 822 ) / 169332
GCD(412, 822) = 338664 / 169332
GCD(412, 822) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 945) = 1890
GCD(2, 945) = ( 2 x 945 ) / 1890
GCD(2, 945) = 1890 / 1890
GCD(2, 945) = 1
GCD of 412, 822, 945 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 412, 822, 945?
GCD of 412, 822, 945 is 1
2. Where do I get the detailed procedure to find GCD of 412, 822, 945?
You can find a detailed procedure to find GCD of 412, 822, 945 on our page.
3. How to find GCD of 412, 822, 945 on a calculator?
You can find the GCD of 412, 822, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.