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 729, 737, 890, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 737, 890, 310 is 1
GCD(729, 737, 890, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 737, 890, 310 is 1
GCD(729, 737, 890, 310) = 1
Given Input numbers are 729, 737, 890, 310
To find the GCD of numbers using factoring list out all the divisors of each number
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 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 729, 737, 890, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 737, 890, 310 is 1.
Therefore, GCD of numbers 729, 737, 890, 310 is 1
Given Input Data is 729, 737, 890, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 737 is 11 x 67
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 310 is 2 x 5 x 31
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(729, 737) = 537273
GCD(729, 737) = ( 729 x 737 ) / 537273
GCD(729, 737) = 537273 / 537273
GCD(729, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 310) = 310
GCD(1, 310) = ( 1 x 310 ) / 310
GCD(1, 310) = 310 / 310
GCD(1, 310) = 1
GCD of 729, 737, 890, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 737, 890, 310?
GCD of 729, 737, 890, 310 is 1
2. Where do I get the detailed procedure to find GCD of 729, 737, 890, 310?
You can find a detailed procedure to find GCD of 729, 737, 890, 310 on our page.
3. How to find GCD of 729, 737, 890, 310 on a calculator?
You can find the GCD of 729, 737, 890, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.