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, 667, 802, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 726, 667, 802, 133 is 1
GCD(726, 667, 802, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 726, 667, 802, 133 is 1
GCD(726, 667, 802, 133) = 1
Given Input numbers are 726, 667, 802, 133
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 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 726, 667, 802, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 667, 802, 133 is 1.
Therefore, GCD of numbers 726, 667, 802, 133 is 1
Given Input Data is 726, 667, 802, 133
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 667 is 23 x 29
Prime Factorization of 802 is 2 x 401
Prime Factorization of 133 is 7 x 19
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, 667) = 484242
GCD(726, 667) = ( 726 x 667 ) / 484242
GCD(726, 667) = 484242 / 484242
GCD(726, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 1
GCD of 726, 667, 802, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 726, 667, 802, 133?
GCD of 726, 667, 802, 133 is 1
2. Where do I get the detailed procedure to find GCD of 726, 667, 802, 133?
You can find a detailed procedure to find GCD of 726, 667, 802, 133 on our page.
3. How to find GCD of 726, 667, 802, 133 on a calculator?
You can find the GCD of 726, 667, 802, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.