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 296, 729, 64, 602 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 729, 64, 602 is 1
GCD(296, 729, 64, 602) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 729, 64, 602 is 1
GCD(296, 729, 64, 602) = 1
Given Input numbers are 296, 729, 64, 602
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 296, 729, 64, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 729, 64, 602 is 1.
Therefore, GCD of numbers 296, 729, 64, 602 is 1
Given Input Data is 296, 729, 64, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 602 is 2 x 7 x 43
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(296, 729) = 215784
GCD(296, 729) = ( 296 x 729 ) / 215784
GCD(296, 729) = 215784 / 215784
GCD(296, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
GCD of 296, 729, 64, 602 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 729, 64, 602?
GCD of 296, 729, 64, 602 is 1
2. Where do I get the detailed procedure to find GCD of 296, 729, 64, 602?
You can find a detailed procedure to find GCD of 296, 729, 64, 602 on our page.
3. How to find GCD of 296, 729, 64, 602 on a calculator?
You can find the GCD of 296, 729, 64, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.