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 359, 118, 839, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 118, 839, 982 is 1
GCD(359, 118, 839, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 118, 839, 982 is 1
GCD(359, 118, 839, 982) = 1
Given Input numbers are 359, 118, 839, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 359, 118, 839, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 118, 839, 982 is 1.
Therefore, GCD of numbers 359, 118, 839, 982 is 1
Given Input Data is 359, 118, 839, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 118 is 2 x 59
Prime Factorization of 839 is 839
Prime Factorization of 982 is 2 x 491
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(359, 118) = 42362
GCD(359, 118) = ( 359 x 118 ) / 42362
GCD(359, 118) = 42362 / 42362
GCD(359, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 839
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 839) = 839
GCD(1, 839) = ( 1 x 839 ) / 839
GCD(1, 839) = 839 / 839
GCD(1, 839) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 359, 118, 839, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 118, 839, 982?
GCD of 359, 118, 839, 982 is 1
2. Where do I get the detailed procedure to find GCD of 359, 118, 839, 982?
You can find a detailed procedure to find GCD of 359, 118, 839, 982 on our page.
3. How to find GCD of 359, 118, 839, 982 on a calculator?
You can find the GCD of 359, 118, 839, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.