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 737, 729, 686, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 729, 686, 412 is 1
GCD(737, 729, 686, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 729, 686, 412 is 1
GCD(737, 729, 686, 412) = 1
Given Input numbers are 737, 729, 686, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
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 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 737, 729, 686, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 729, 686, 412 is 1.
Therefore, GCD of numbers 737, 729, 686, 412 is 1
Given Input Data is 737, 729, 686, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 412 is 2 x 2 x 103
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(737, 729) = 537273
GCD(737, 729) = ( 737 x 729 ) / 537273
GCD(737, 729) = 537273 / 537273
GCD(737, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
GCD(1, 686) = 686 / 686
GCD(1, 686) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 737, 729, 686, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 729, 686, 412?
GCD of 737, 729, 686, 412 is 1
2. Where do I get the detailed procedure to find GCD of 737, 729, 686, 412?
You can find a detailed procedure to find GCD of 737, 729, 686, 412 on our page.
3. How to find GCD of 737, 729, 686, 412 on a calculator?
You can find the GCD of 737, 729, 686, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.