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 658, 309, 343, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 309, 343, 891 is 1
GCD(658, 309, 343, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 309, 343, 891 is 1
GCD(658, 309, 343, 891) = 1
Given Input numbers are 658, 309, 343, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 658, 309, 343, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 309, 343, 891 is 1.
Therefore, GCD of numbers 658, 309, 343, 891 is 1
Given Input Data is 658, 309, 343, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 309 is 3 x 103
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(658, 309) = 203322
GCD(658, 309) = ( 658 x 309 ) / 203322
GCD(658, 309) = 203322 / 203322
GCD(658, 309) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 658, 309, 343, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 309, 343, 891?
GCD of 658, 309, 343, 891 is 1
2. Where do I get the detailed procedure to find GCD of 658, 309, 343, 891?
You can find a detailed procedure to find GCD of 658, 309, 343, 891 on our page.
3. How to find GCD of 658, 309, 343, 891 on a calculator?
You can find the GCD of 658, 309, 343, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.