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 85, 204, 955, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 85, 204, 955, 961 is 1
GCD(85, 204, 955, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 85, 204, 955, 961 is 1
GCD(85, 204, 955, 961) = 1
Given Input numbers are 85, 204, 955, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 85, 204, 955, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 204, 955, 961 is 1.
Therefore, GCD of numbers 85, 204, 955, 961 is 1
Given Input Data is 85, 204, 955, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 85 is 5 x 17
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 955 is 5 x 191
Prime Factorization of 961 is 31 x 31
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(85, 204) = 1020
GCD(85, 204) = ( 85 x 204 ) / 1020
GCD(85, 204) = 17340 / 1020
GCD(85, 204) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 955) = 16235
GCD(17, 955) = ( 17 x 955 ) / 16235
GCD(17, 955) = 16235 / 16235
GCD(17, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
GCD(1, 961) = 961 / 961
GCD(1, 961) = 1
GCD of 85, 204, 955, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 85, 204, 955, 961?
GCD of 85, 204, 955, 961 is 1
2. Where do I get the detailed procedure to find GCD of 85, 204, 955, 961?
You can find a detailed procedure to find GCD of 85, 204, 955, 961 on our page.
3. How to find GCD of 85, 204, 955, 961 on a calculator?
You can find the GCD of 85, 204, 955, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.