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 173, 527, 364, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 527, 364, 771 is 1
GCD(173, 527, 364, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 527, 364, 771 is 1
GCD(173, 527, 364, 771) = 1
Given Input numbers are 173, 527, 364, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 173, 527, 364, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 527, 364, 771 is 1.
Therefore, GCD of numbers 173, 527, 364, 771 is 1
Given Input Data is 173, 527, 364, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 527 is 17 x 31
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 771 is 3 x 257
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(173, 527) = 91171
GCD(173, 527) = ( 173 x 527 ) / 91171
GCD(173, 527) = 91171 / 91171
GCD(173, 527) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
Step3:
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
GCD of 173, 527, 364, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 527, 364, 771?
GCD of 173, 527, 364, 771 is 1
2. Where do I get the detailed procedure to find GCD of 173, 527, 364, 771?
You can find a detailed procedure to find GCD of 173, 527, 364, 771 on our page.
3. How to find GCD of 173, 527, 364, 771 on a calculator?
You can find the GCD of 173, 527, 364, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.