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 916, 953, 598, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 953, 598, 241 is 1
GCD(916, 953, 598, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 953, 598, 241 is 1
GCD(916, 953, 598, 241) = 1
Given Input numbers are 916, 953, 598, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
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 916, 953, 598, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 953, 598, 241 is 1.
Therefore, GCD of numbers 916, 953, 598, 241 is 1
Given Input Data is 916, 953, 598, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 953 is 953
Prime Factorization of 598 is 2 x 13 x 23
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(916, 953) = 872948
GCD(916, 953) = ( 916 x 953 ) / 872948
GCD(916, 953) = 872948 / 872948
GCD(916, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 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 916, 953, 598, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 953, 598, 241?
GCD of 916, 953, 598, 241 is 1
2. Where do I get the detailed procedure to find GCD of 916, 953, 598, 241?
You can find a detailed procedure to find GCD of 916, 953, 598, 241 on our page.
3. How to find GCD of 916, 953, 598, 241 on a calculator?
You can find the GCD of 916, 953, 598, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.