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 730, 426, 41, 143 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 426, 41, 143 is 1
GCD(730, 426, 41, 143) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 426, 41, 143 is 1
GCD(730, 426, 41, 143) = 1
Given Input numbers are 730, 426, 41, 143
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Greatest Common Divisior
We found the divisors of 730, 426, 41, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 426, 41, 143 is 1.
Therefore, GCD of numbers 730, 426, 41, 143 is 1
Given Input Data is 730, 426, 41, 143
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 41 is 41
Prime Factorization of 143 is 11 x 13
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(730, 426) = 155490
GCD(730, 426) = ( 730 x 426 ) / 155490
GCD(730, 426) = 310980 / 155490
GCD(730, 426) = 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 143
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 143) = 143
GCD(1, 143) = ( 1 x 143 ) / 143
GCD(1, 143) = 143 / 143
GCD(1, 143) = 1
GCD of 730, 426, 41, 143 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 426, 41, 143?
GCD of 730, 426, 41, 143 is 1
2. Where do I get the detailed procedure to find GCD of 730, 426, 41, 143?
You can find a detailed procedure to find GCD of 730, 426, 41, 143 on our page.
3. How to find GCD of 730, 426, 41, 143 on a calculator?
You can find the GCD of 730, 426, 41, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.