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, 488, 662, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 343, 488, 662, 843 is 1
GCD(343, 488, 662, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 343, 488, 662, 843 is 1
GCD(343, 488, 662, 843) = 1
Given Input numbers are 343, 488, 662, 843
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 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 343, 488, 662, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 488, 662, 843 is 1.
Therefore, GCD of numbers 343, 488, 662, 843 is 1
Given Input Data is 343, 488, 662, 843
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 488 is 2 x 2 x 2 x 61
Prime Factorization of 662 is 2 x 331
Prime Factorization of 843 is 3 x 281
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, 488) = 167384
GCD(343, 488) = ( 343 x 488 ) / 167384
GCD(343, 488) = 167384 / 167384
GCD(343, 488) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 343, 488, 662, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 343, 488, 662, 843?
GCD of 343, 488, 662, 843 is 1
2. Where do I get the detailed procedure to find GCD of 343, 488, 662, 843?
You can find a detailed procedure to find GCD of 343, 488, 662, 843 on our page.
3. How to find GCD of 343, 488, 662, 843 on a calculator?
You can find the GCD of 343, 488, 662, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.