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 334, 537, 728, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 537, 728, 826 is 1
GCD(334, 537, 728, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 537, 728, 826 is 1
GCD(334, 537, 728, 826) = 1
Given Input numbers are 334, 537, 728, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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 334, 537, 728, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 537, 728, 826 is 1.
Therefore, GCD of numbers 334, 537, 728, 826 is 1
Given Input Data is 334, 537, 728, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 537 is 3 x 179
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
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(334, 537) = 179358
GCD(334, 537) = ( 334 x 537 ) / 179358
GCD(334, 537) = 179358 / 179358
GCD(334, 537) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
GCD(1, 728) = 728 / 728
GCD(1, 728) = 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 334, 537, 728, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 537, 728, 826?
GCD of 334, 537, 728, 826 is 1
2. Where do I get the detailed procedure to find GCD of 334, 537, 728, 826?
You can find a detailed procedure to find GCD of 334, 537, 728, 826 on our page.
3. How to find GCD of 334, 537, 728, 826 on a calculator?
You can find the GCD of 334, 537, 728, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.