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 658, 604, 236, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 604, 236, 729 is 1
GCD(658, 604, 236, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 604, 236, 729 is 1
GCD(658, 604, 236, 729) = 1
Given Input numbers are 658, 604, 236, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 658, 604, 236, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 604, 236, 729 is 1.
Therefore, GCD of numbers 658, 604, 236, 729 is 1
Given Input Data is 658, 604, 236, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(658, 604) = 198716
GCD(658, 604) = ( 658 x 604 ) / 198716
GCD(658, 604) = 397432 / 198716
GCD(658, 604) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 236
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
GCD(2, 236) = 472 / 236
GCD(2, 236) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
GCD(2, 729) = 1458 / 1458
GCD(2, 729) = 1
GCD of 658, 604, 236, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 604, 236, 729?
GCD of 658, 604, 236, 729 is 1
2. Where do I get the detailed procedure to find GCD of 658, 604, 236, 729?
You can find a detailed procedure to find GCD of 658, 604, 236, 729 on our page.
3. How to find GCD of 658, 604, 236, 729 on a calculator?
You can find the GCD of 658, 604, 236, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.