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 734, 727, 726, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 727, 726, 826 is 1
GCD(734, 727, 726, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 727, 726, 826 is 1
GCD(734, 727, 726, 826) = 1
Given Input numbers are 734, 727, 726, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
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 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 734, 727, 726, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 727, 726, 826 is 1.
Therefore, GCD of numbers 734, 727, 726, 826 is 1
Given Input Data is 734, 727, 726, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 727 is 727
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 826 is 2 x 7 x 59
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(734, 727) = 533618
GCD(734, 727) = ( 734 x 727 ) / 533618
GCD(734, 727) = 533618 / 533618
GCD(734, 727) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 734, 727, 726, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 727, 726, 826?
GCD of 734, 727, 726, 826 is 1
2. Where do I get the detailed procedure to find GCD of 734, 727, 726, 826?
You can find a detailed procedure to find GCD of 734, 727, 726, 826 on our page.
3. How to find GCD of 734, 727, 726, 826 on a calculator?
You can find the GCD of 734, 727, 726, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.