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 260, 194, 67, 484 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 194, 67, 484 is 1
GCD(260, 194, 67, 484) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 194, 67, 484 is 1
GCD(260, 194, 67, 484) = 1
Given Input numbers are 260, 194, 67, 484
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Greatest Common Divisior
We found the divisors of 260, 194, 67, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 194, 67, 484 is 1.
Therefore, GCD of numbers 260, 194, 67, 484 is 1
Given Input Data is 260, 194, 67, 484
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 194 is 2 x 97
Prime Factorization of 67 is 67
Prime Factorization of 484 is 2 x 2 x 11 x 11
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(260, 194) = 25220
GCD(260, 194) = ( 260 x 194 ) / 25220
GCD(260, 194) = 50440 / 25220
GCD(260, 194) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 484
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 484) = 484
GCD(1, 484) = ( 1 x 484 ) / 484
GCD(1, 484) = 484 / 484
GCD(1, 484) = 1
GCD of 260, 194, 67, 484 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 194, 67, 484?
GCD of 260, 194, 67, 484 is 1
2. Where do I get the detailed procedure to find GCD of 260, 194, 67, 484?
You can find a detailed procedure to find GCD of 260, 194, 67, 484 on our page.
3. How to find GCD of 260, 194, 67, 484 on a calculator?
You can find the GCD of 260, 194, 67, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.