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 843, 965, 393, 144 i.e. 1 largest integer that divides all the numbers equally.
GCD of 843, 965, 393, 144 is 1
GCD(843, 965, 393, 144) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 843, 965, 393, 144 is 1
GCD(843, 965, 393, 144) = 1
Given Input numbers are 843, 965, 393, 144
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 965
List of positive integer divisors of 965 that divides 965 without a remainder.
1, 5, 193, 965
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greatest Common Divisior
We found the divisors of 843, 965, 393, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 843, 965, 393, 144 is 1.
Therefore, GCD of numbers 843, 965, 393, 144 is 1
Given Input Data is 843, 965, 393, 144
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 843 is 3 x 281
Prime Factorization of 965 is 5 x 193
Prime Factorization of 393 is 3 x 131
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
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(843, 965) = 813495
GCD(843, 965) = ( 843 x 965 ) / 813495
GCD(843, 965) = 813495 / 813495
GCD(843, 965) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 393) = 393
GCD(1, 393) = ( 1 x 393 ) / 393
GCD(1, 393) = 393 / 393
GCD(1, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
GCD of 843, 965, 393, 144 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 843, 965, 393, 144?
GCD of 843, 965, 393, 144 is 1
2. Where do I get the detailed procedure to find GCD of 843, 965, 393, 144?
You can find a detailed procedure to find GCD of 843, 965, 393, 144 on our page.
3. How to find GCD of 843, 965, 393, 144 on a calculator?
You can find the GCD of 843, 965, 393, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.