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 748, 529, 726, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 529, 726, 343 is 1
GCD(748, 529, 726, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 529, 726, 343 is 1
GCD(748, 529, 726, 343) = 1
Given Input numbers are 748, 529, 726, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 748, 529, 726, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 529, 726, 343 is 1.
Therefore, GCD of numbers 748, 529, 726, 343 is 1
Given Input Data is 748, 529, 726, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 529 is 23 x 23
Prime Factorization of 726 is 2 x 3 x 11 x 11
Prime Factorization of 343 is 7 x 7 x 7
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(748, 529) = 395692
GCD(748, 529) = ( 748 x 529 ) / 395692
GCD(748, 529) = 395692 / 395692
GCD(748, 529) = 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 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 748, 529, 726, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 529, 726, 343?
GCD of 748, 529, 726, 343 is 1
2. Where do I get the detailed procedure to find GCD of 748, 529, 726, 343?
You can find a detailed procedure to find GCD of 748, 529, 726, 343 on our page.
3. How to find GCD of 748, 529, 726, 343 on a calculator?
You can find the GCD of 748, 529, 726, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.