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 726, 799, 92, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 799, 92, 742 is 1
GCD(726, 799, 92, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 799, 92, 742 is 1
GCD(726, 799, 92, 742) = 1
Given Input numbers are 726, 799, 92, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 726, 799, 92, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 799, 92, 742 is 1.
Therefore, GCD of numbers 726, 799, 92, 742 is 1
Given Input Data is 726, 799, 92, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 799 is 17 x 47
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 742 is 2 x 7 x 53
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(726, 799) = 580074
GCD(726, 799) = ( 726 x 799 ) / 580074
GCD(726, 799) = 580074 / 580074
GCD(726, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 92) = 92
GCD(1, 92) = ( 1 x 92 ) / 92
GCD(1, 92) = 92 / 92
GCD(1, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 726, 799, 92, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 799, 92, 742?
GCD of 726, 799, 92, 742 is 1
2. Where do I get the detailed procedure to find GCD of 726, 799, 92, 742?
You can find a detailed procedure to find GCD of 726, 799, 92, 742 on our page.
3. How to find GCD of 726, 799, 92, 742 on a calculator?
You can find the GCD of 726, 799, 92, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.