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 394, 536, 733, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 394, 536, 733, 759 is 1
GCD(394, 536, 733, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 394, 536, 733, 759 is 1
GCD(394, 536, 733, 759) = 1
Given Input numbers are 394, 536, 733, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 394, 536, 733, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 536, 733, 759 is 1.
Therefore, GCD of numbers 394, 536, 733, 759 is 1
Given Input Data is 394, 536, 733, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 394 is 2 x 197
Prime Factorization of 536 is 2 x 2 x 2 x 67
Prime Factorization of 733 is 733
Prime Factorization of 759 is 3 x 11 x 23
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(394, 536) = 105592
GCD(394, 536) = ( 394 x 536 ) / 105592
GCD(394, 536) = 211184 / 105592
GCD(394, 536) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 733
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 733) = 1466
GCD(2, 733) = ( 2 x 733 ) / 1466
GCD(2, 733) = 1466 / 1466
GCD(2, 733) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 394, 536, 733, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 394, 536, 733, 759?
GCD of 394, 536, 733, 759 is 1
2. Where do I get the detailed procedure to find GCD of 394, 536, 733, 759?
You can find a detailed procedure to find GCD of 394, 536, 733, 759 on our page.
3. How to find GCD of 394, 536, 733, 759 on a calculator?
You can find the GCD of 394, 536, 733, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.