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 343, 663, 973, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 663, 973, 860 is 1
GCD(343, 663, 973, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 663, 973, 860 is 1
GCD(343, 663, 973, 860) = 1
Given Input numbers are 343, 663, 973, 860
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 343, 663, 973, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 663, 973, 860 is 1.
Therefore, GCD of numbers 343, 663, 973, 860 is 1
Given Input Data is 343, 663, 973, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 973 is 7 x 139
Prime Factorization of 860 is 2 x 2 x 5 x 43
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(343, 663) = 227409
GCD(343, 663) = ( 343 x 663 ) / 227409
GCD(343, 663) = 227409 / 227409
GCD(343, 663) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 343, 663, 973, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 663, 973, 860?
GCD of 343, 663, 973, 860 is 1
2. Where do I get the detailed procedure to find GCD of 343, 663, 973, 860?
You can find a detailed procedure to find GCD of 343, 663, 973, 860 on our page.
3. How to find GCD of 343, 663, 973, 860 on a calculator?
You can find the GCD of 343, 663, 973, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.