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 364, 743, 771, 592 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 743, 771, 592 is 1
GCD(364, 743, 771, 592) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 743, 771, 592 is 1
GCD(364, 743, 771, 592) = 1
Given Input numbers are 364, 743, 771, 592
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 592
List of positive integer divisors of 592 that divides 592 without a remainder.
1, 2, 4, 8, 16, 37, 74, 148, 296, 592
Greatest Common Divisior
We found the divisors of 364, 743, 771, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 743, 771, 592 is 1.
Therefore, GCD of numbers 364, 743, 771, 592 is 1
Given Input Data is 364, 743, 771, 592
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 743 is 743
Prime Factorization of 771 is 3 x 257
Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37
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(364, 743) = 270452
GCD(364, 743) = ( 364 x 743 ) / 270452
GCD(364, 743) = 270452 / 270452
GCD(364, 743) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 592
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 592) = 592
GCD(1, 592) = ( 1 x 592 ) / 592
GCD(1, 592) = 592 / 592
GCD(1, 592) = 1
GCD of 364, 743, 771, 592 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 743, 771, 592?
GCD of 364, 743, 771, 592 is 1
2. Where do I get the detailed procedure to find GCD of 364, 743, 771, 592?
You can find a detailed procedure to find GCD of 364, 743, 771, 592 on our page.
3. How to find GCD of 364, 743, 771, 592 on a calculator?
You can find the GCD of 364, 743, 771, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.