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 474, 237, 41, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 237, 41, 178 is 1
GCD(474, 237, 41, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 237, 41, 178 is 1
GCD(474, 237, 41, 178) = 1
Given Input numbers are 474, 237, 41, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 474, 237, 41, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 237, 41, 178 is 1.
Therefore, GCD of numbers 474, 237, 41, 178 is 1
Given Input Data is 474, 237, 41, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 237 is 3 x 79
Prime Factorization of 41 is 41
Prime Factorization of 178 is 2 x 89
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(474, 237) = 474
GCD(474, 237) = ( 474 x 237 ) / 474
GCD(474, 237) = 112338 / 474
GCD(474, 237) = 237
Step2:
Here we consider the GCD from the above i.e. 237 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(237, 41) = 9717
GCD(237, 41) = ( 237 x 41 ) / 9717
GCD(237, 41) = 9717 / 9717
GCD(237, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 474, 237, 41, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 237, 41, 178?
GCD of 474, 237, 41, 178 is 1
2. Where do I get the detailed procedure to find GCD of 474, 237, 41, 178?
You can find a detailed procedure to find GCD of 474, 237, 41, 178 on our page.
3. How to find GCD of 474, 237, 41, 178 on a calculator?
You can find the GCD of 474, 237, 41, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.