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 724, 406, 41, 308 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 406, 41, 308 is 1
GCD(724, 406, 41, 308) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 406, 41, 308 is 1
GCD(724, 406, 41, 308) = 1
Given Input numbers are 724, 406, 41, 308
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Greatest Common Divisior
We found the divisors of 724, 406, 41, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 406, 41, 308 is 1.
Therefore, GCD of numbers 724, 406, 41, 308 is 1
Given Input Data is 724, 406, 41, 308
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 41 is 41
Prime Factorization of 308 is 2 x 2 x 7 x 11
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(724, 406) = 146972
GCD(724, 406) = ( 724 x 406 ) / 146972
GCD(724, 406) = 293944 / 146972
GCD(724, 406) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 41) = 82
GCD(2, 41) = ( 2 x 41 ) / 82
GCD(2, 41) = 82 / 82
GCD(2, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 308
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 308) = 308
GCD(1, 308) = ( 1 x 308 ) / 308
GCD(1, 308) = 308 / 308
GCD(1, 308) = 1
GCD of 724, 406, 41, 308 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 406, 41, 308?
GCD of 724, 406, 41, 308 is 1
2. Where do I get the detailed procedure to find GCD of 724, 406, 41, 308?
You can find a detailed procedure to find GCD of 724, 406, 41, 308 on our page.
3. How to find GCD of 724, 406, 41, 308 on a calculator?
You can find the GCD of 724, 406, 41, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.