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, 492, 171, 889 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 492, 171, 889 is 1
GCD(961, 492, 171, 889) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 492, 171, 889 is 1
GCD(961, 492, 171, 889) = 1
Given Input numbers are 961, 492, 171, 889
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 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Greatest Common Divisior
We found the divisors of 961, 492, 171, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 492, 171, 889 is 1.
Therefore, GCD of numbers 961, 492, 171, 889 is 1
Given Input Data is 961, 492, 171, 889
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 889 is 7 x 127
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, 492) = 472812
GCD(961, 492) = ( 961 x 492 ) / 472812
GCD(961, 492) = 472812 / 472812
GCD(961, 492) = 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 889
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 889) = 889
GCD(1, 889) = ( 1 x 889 ) / 889
GCD(1, 889) = 889 / 889
GCD(1, 889) = 1
GCD of 961, 492, 171, 889 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 492, 171, 889?
GCD of 961, 492, 171, 889 is 1
2. Where do I get the detailed procedure to find GCD of 961, 492, 171, 889?
You can find a detailed procedure to find GCD of 961, 492, 171, 889 on our page.
3. How to find GCD of 961, 492, 171, 889 on a calculator?
You can find the GCD of 961, 492, 171, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.