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 969, 822, 73, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 822, 73, 650 is 1
GCD(969, 822, 73, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 822, 73, 650 is 1
GCD(969, 822, 73, 650) = 1
Given Input numbers are 969, 822, 73, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
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 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 969, 822, 73, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 822, 73, 650 is 1.
Therefore, GCD of numbers 969, 822, 73, 650 is 1
Given Input Data is 969, 822, 73, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 73 is 73
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(969, 822) = 265506
GCD(969, 822) = ( 969 x 822 ) / 265506
GCD(969, 822) = 796518 / 265506
GCD(969, 822) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 969, 822, 73, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 822, 73, 650?
GCD of 969, 822, 73, 650 is 1
2. Where do I get the detailed procedure to find GCD of 969, 822, 73, 650?
You can find a detailed procedure to find GCD of 969, 822, 73, 650 on our page.
3. How to find GCD of 969, 822, 73, 650 on a calculator?
You can find the GCD of 969, 822, 73, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.