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 945, 323, 820, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 945, 323, 820, 633 is 1
GCD(945, 323, 820, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 945, 323, 820, 633 is 1
GCD(945, 323, 820, 633) = 1
Given Input numbers are 945, 323, 820, 633
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 945, 323, 820, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 323, 820, 633 is 1.
Therefore, GCD of numbers 945, 323, 820, 633 is 1
Given Input Data is 945, 323, 820, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 323 is 17 x 19
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 633 is 3 x 211
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(945, 323) = 305235
GCD(945, 323) = ( 945 x 323 ) / 305235
GCD(945, 323) = 305235 / 305235
GCD(945, 323) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 945, 323, 820, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 945, 323, 820, 633?
GCD of 945, 323, 820, 633 is 1
2. Where do I get the detailed procedure to find GCD of 945, 323, 820, 633?
You can find a detailed procedure to find GCD of 945, 323, 820, 633 on our page.
3. How to find GCD of 945, 323, 820, 633 on a calculator?
You can find the GCD of 945, 323, 820, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.