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 475, 962, 226, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 962, 226, 241 is 1
GCD(475, 962, 226, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 962, 226, 241 is 1
GCD(475, 962, 226, 241) = 1
Given Input numbers are 475, 962, 226, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
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 475, 962, 226, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 962, 226, 241 is 1.
Therefore, GCD of numbers 475, 962, 226, 241 is 1
Given Input Data is 475, 962, 226, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 226 is 2 x 113
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(475, 962) = 456950
GCD(475, 962) = ( 475 x 962 ) / 456950
GCD(475, 962) = 456950 / 456950
GCD(475, 962) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 226
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 226) = 226
GCD(1, 226) = ( 1 x 226 ) / 226
GCD(1, 226) = 226 / 226
GCD(1, 226) = 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 475, 962, 226, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 962, 226, 241?
GCD of 475, 962, 226, 241 is 1
2. Where do I get the detailed procedure to find GCD of 475, 962, 226, 241?
You can find a detailed procedure to find GCD of 475, 962, 226, 241 on our page.
3. How to find GCD of 475, 962, 226, 241 on a calculator?
You can find the GCD of 475, 962, 226, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.