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 194, 217, 961, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 194, 217, 961, 265 is 1
GCD(194, 217, 961, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 194, 217, 961, 265 is 1
GCD(194, 217, 961, 265) = 1
Given Input numbers are 194, 217, 961, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 194, 217, 961, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 217, 961, 265 is 1.
Therefore, GCD of numbers 194, 217, 961, 265 is 1
Given Input Data is 194, 217, 961, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 194 is 2 x 97
Prime Factorization of 217 is 7 x 31
Prime Factorization of 961 is 31 x 31
Prime Factorization of 265 is 5 x 53
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(194, 217) = 42098
GCD(194, 217) = ( 194 x 217 ) / 42098
GCD(194, 217) = 42098 / 42098
GCD(194, 217) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 194, 217, 961, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 194, 217, 961, 265?
GCD of 194, 217, 961, 265 is 1
2. Where do I get the detailed procedure to find GCD of 194, 217, 961, 265?
You can find a detailed procedure to find GCD of 194, 217, 961, 265 on our page.
3. How to find GCD of 194, 217, 961, 265 on a calculator?
You can find the GCD of 194, 217, 961, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.