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 724, 739, 39, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 739, 39, 666 is 1
GCD(724, 739, 39, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 739, 39, 666 is 1
GCD(724, 739, 39, 666) = 1
Given Input numbers are 724, 739, 39, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 724, 739, 39, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 739, 39, 666 is 1.
Therefore, GCD of numbers 724, 739, 39, 666 is 1
Given Input Data is 724, 739, 39, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 739 is 739
Prime Factorization of 39 is 3 x 13
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(724, 739) = 535036
GCD(724, 739) = ( 724 x 739 ) / 535036
GCD(724, 739) = 535036 / 535036
GCD(724, 739) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 724, 739, 39, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 739, 39, 666?
GCD of 724, 739, 39, 666 is 1
2. Where do I get the detailed procedure to find GCD of 724, 739, 39, 666?
You can find a detailed procedure to find GCD of 724, 739, 39, 666 on our page.
3. How to find GCD of 724, 739, 39, 666 on a calculator?
You can find the GCD of 724, 739, 39, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.