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 961, 176, 712, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 176, 712, 323 is 1
GCD(961, 176, 712, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 176, 712, 323 is 1
GCD(961, 176, 712, 323) = 1
Given Input numbers are 961, 176, 712, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 961, 176, 712, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 176, 712, 323 is 1.
Therefore, GCD of numbers 961, 176, 712, 323 is 1
Given Input Data is 961, 176, 712, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 323 is 17 x 19
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(961, 176) = 169136
GCD(961, 176) = ( 961 x 176 ) / 169136
GCD(961, 176) = 169136 / 169136
GCD(961, 176) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 712
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 712) = 712
GCD(1, 712) = ( 1 x 712 ) / 712
GCD(1, 712) = 712 / 712
GCD(1, 712) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 961, 176, 712, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 176, 712, 323?
GCD of 961, 176, 712, 323 is 1
2. Where do I get the detailed procedure to find GCD of 961, 176, 712, 323?
You can find a detailed procedure to find GCD of 961, 176, 712, 323 on our page.
3. How to find GCD of 961, 176, 712, 323 on a calculator?
You can find the GCD of 961, 176, 712, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.