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 746, 963, 171, 831 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 963, 171, 831 is 1
GCD(746, 963, 171, 831) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 963, 171, 831 is 1
GCD(746, 963, 171, 831) = 1
Given Input numbers are 746, 963, 171, 831
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Greatest Common Divisior
We found the divisors of 746, 963, 171, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 963, 171, 831 is 1.
Therefore, GCD of numbers 746, 963, 171, 831 is 1
Given Input Data is 746, 963, 171, 831
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 831 is 3 x 277
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(746, 963) = 718398
GCD(746, 963) = ( 746 x 963 ) / 718398
GCD(746, 963) = 718398 / 718398
GCD(746, 963) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
GCD of 746, 963, 171, 831 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 963, 171, 831?
GCD of 746, 963, 171, 831 is 1
2. Where do I get the detailed procedure to find GCD of 746, 963, 171, 831?
You can find a detailed procedure to find GCD of 746, 963, 171, 831 on our page.
3. How to find GCD of 746, 963, 171, 831 on a calculator?
You can find the GCD of 746, 963, 171, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.