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 691, 371, 459, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 691, 371, 459, 353 is 1
GCD(691, 371, 459, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 691, 371, 459, 353 is 1
GCD(691, 371, 459, 353) = 1
Given Input numbers are 691, 371, 459, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 691, 371, 459, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 691, 371, 459, 353 is 1.
Therefore, GCD of numbers 691, 371, 459, 353 is 1
Given Input Data is 691, 371, 459, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 691 is 691
Prime Factorization of 371 is 7 x 53
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 353 is 353
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(691, 371) = 256361
GCD(691, 371) = ( 691 x 371 ) / 256361
GCD(691, 371) = 256361 / 256361
GCD(691, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 459) = 459
GCD(1, 459) = ( 1 x 459 ) / 459
GCD(1, 459) = 459 / 459
GCD(1, 459) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 691, 371, 459, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 691, 371, 459, 353?
GCD of 691, 371, 459, 353 is 1
2. Where do I get the detailed procedure to find GCD of 691, 371, 459, 353?
You can find a detailed procedure to find GCD of 691, 371, 459, 353 on our page.
3. How to find GCD of 691, 371, 459, 353 on a calculator?
You can find the GCD of 691, 371, 459, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.