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 364, 686, 881, 983 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 686, 881, 983 is 1
GCD(364, 686, 881, 983) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 686, 881, 983 is 1
GCD(364, 686, 881, 983) = 1
Given Input numbers are 364, 686, 881, 983
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Greatest Common Divisior
We found the divisors of 364, 686, 881, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 686, 881, 983 is 1.
Therefore, GCD of numbers 364, 686, 881, 983 is 1
Given Input Data is 364, 686, 881, 983
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 686 is 2 x 7 x 7 x 7
Prime Factorization of 881 is 881
Prime Factorization of 983 is 983
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(364, 686) = 17836
GCD(364, 686) = ( 364 x 686 ) / 17836
GCD(364, 686) = 249704 / 17836
GCD(364, 686) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 881) = 12334
GCD(14, 881) = ( 14 x 881 ) / 12334
GCD(14, 881) = 12334 / 12334
GCD(14, 881) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
GCD of 364, 686, 881, 983 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 686, 881, 983?
GCD of 364, 686, 881, 983 is 1
2. Where do I get the detailed procedure to find GCD of 364, 686, 881, 983?
You can find a detailed procedure to find GCD of 364, 686, 881, 983 on our page.
3. How to find GCD of 364, 686, 881, 983 on a calculator?
You can find the GCD of 364, 686, 881, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.