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 963, 104, 522, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 104, 522, 178 is 1
GCD(963, 104, 522, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 104, 522, 178 is 1
GCD(963, 104, 522, 178) = 1
Given Input numbers are 963, 104, 522, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 963, 104, 522, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 104, 522, 178 is 1.
Therefore, GCD of numbers 963, 104, 522, 178 is 1
Given Input Data is 963, 104, 522, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 178 is 2 x 89
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(963, 104) = 100152
GCD(963, 104) = ( 963 x 104 ) / 100152
GCD(963, 104) = 100152 / 100152
GCD(963, 104) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 963, 104, 522, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 104, 522, 178?
GCD of 963, 104, 522, 178 is 1
2. Where do I get the detailed procedure to find GCD of 963, 104, 522, 178?
You can find a detailed procedure to find GCD of 963, 104, 522, 178 on our page.
3. How to find GCD of 963, 104, 522, 178 on a calculator?
You can find the GCD of 963, 104, 522, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.