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 232, 226, 574, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 232, 226, 574, 377 is 1
GCD(232, 226, 574, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 232, 226, 574, 377 is 1
GCD(232, 226, 574, 377) = 1
Given Input numbers are 232, 226, 574, 377
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 232, 226, 574, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 226, 574, 377 is 1.
Therefore, GCD of numbers 232, 226, 574, 377 is 1
Given Input Data is 232, 226, 574, 377
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 226 is 2 x 113
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 377 is 13 x 29
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(232, 226) = 26216
GCD(232, 226) = ( 232 x 226 ) / 26216
GCD(232, 226) = 52432 / 26216
GCD(232, 226) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 574) = 574
GCD(2, 574) = ( 2 x 574 ) / 574
GCD(2, 574) = 1148 / 574
GCD(2, 574) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 377) = 754
GCD(2, 377) = ( 2 x 377 ) / 754
GCD(2, 377) = 754 / 754
GCD(2, 377) = 1
GCD of 232, 226, 574, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 232, 226, 574, 377?
GCD of 232, 226, 574, 377 is 1
2. Where do I get the detailed procedure to find GCD of 232, 226, 574, 377?
You can find a detailed procedure to find GCD of 232, 226, 574, 377 on our page.
3. How to find GCD of 232, 226, 574, 377 on a calculator?
You can find the GCD of 232, 226, 574, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.