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 465, 691, 173, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 691, 173, 904 is 1
GCD(465, 691, 173, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 691, 173, 904 is 1
GCD(465, 691, 173, 904) = 1
Given Input numbers are 465, 691, 173, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 465, 691, 173, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 691, 173, 904 is 1.
Therefore, GCD of numbers 465, 691, 173, 904 is 1
Given Input Data is 465, 691, 173, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 691 is 691
Prime Factorization of 173 is 173
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(465, 691) = 321315
GCD(465, 691) = ( 465 x 691 ) / 321315
GCD(465, 691) = 321315 / 321315
GCD(465, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 465, 691, 173, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 691, 173, 904?
GCD of 465, 691, 173, 904 is 1
2. Where do I get the detailed procedure to find GCD of 465, 691, 173, 904?
You can find a detailed procedure to find GCD of 465, 691, 173, 904 on our page.
3. How to find GCD of 465, 691, 173, 904 on a calculator?
You can find the GCD of 465, 691, 173, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.