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 497, 355, 969, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 497, 355, 969, 241 is 1
GCD(497, 355, 969, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 497, 355, 969, 241 is 1
GCD(497, 355, 969, 241) = 1
Given Input numbers are 497, 355, 969, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 497, 355, 969, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 355, 969, 241 is 1.
Therefore, GCD of numbers 497, 355, 969, 241 is 1
Given Input Data is 497, 355, 969, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 497 is 7 x 71
Prime Factorization of 355 is 5 x 71
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 241 is 241
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(497, 355) = 2485
GCD(497, 355) = ( 497 x 355 ) / 2485
GCD(497, 355) = 176435 / 2485
GCD(497, 355) = 71
Step2:
Here we consider the GCD from the above i.e. 71 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(71, 969) = 68799
GCD(71, 969) = ( 71 x 969 ) / 68799
GCD(71, 969) = 68799 / 68799
GCD(71, 969) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 497, 355, 969, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 497, 355, 969, 241?
GCD of 497, 355, 969, 241 is 1
2. Where do I get the detailed procedure to find GCD of 497, 355, 969, 241?
You can find a detailed procedure to find GCD of 497, 355, 969, 241 on our page.
3. How to find GCD of 497, 355, 969, 241 on a calculator?
You can find the GCD of 497, 355, 969, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.