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 177, 471, 413, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 471, 413, 793 is 1
GCD(177, 471, 413, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 471, 413, 793 is 1
GCD(177, 471, 413, 793) = 1
Given Input numbers are 177, 471, 413, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 177, 471, 413, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 471, 413, 793 is 1.
Therefore, GCD of numbers 177, 471, 413, 793 is 1
Given Input Data is 177, 471, 413, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 471 is 3 x 157
Prime Factorization of 413 is 7 x 59
Prime Factorization of 793 is 13 x 61
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(177, 471) = 27789
GCD(177, 471) = ( 177 x 471 ) / 27789
GCD(177, 471) = 83367 / 27789
GCD(177, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 413) = 1239
GCD(3, 413) = ( 3 x 413 ) / 1239
GCD(3, 413) = 1239 / 1239
GCD(3, 413) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 793) = 793
GCD(1, 793) = ( 1 x 793 ) / 793
GCD(1, 793) = 793 / 793
GCD(1, 793) = 1
GCD of 177, 471, 413, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 471, 413, 793?
GCD of 177, 471, 413, 793 is 1
2. Where do I get the detailed procedure to find GCD of 177, 471, 413, 793?
You can find a detailed procedure to find GCD of 177, 471, 413, 793 on our page.
3. How to find GCD of 177, 471, 413, 793 on a calculator?
You can find the GCD of 177, 471, 413, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.