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 982, 283, 116, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 283, 116, 959 is 1
GCD(982, 283, 116, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 283, 116, 959 is 1
GCD(982, 283, 116, 959) = 1
Given Input numbers are 982, 283, 116, 959
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 982, 283, 116, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 283, 116, 959 is 1.
Therefore, GCD of numbers 982, 283, 116, 959 is 1
Given Input Data is 982, 283, 116, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 283 is 283
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 959 is 7 x 137
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(982, 283) = 277906
GCD(982, 283) = ( 982 x 283 ) / 277906
GCD(982, 283) = 277906 / 277906
GCD(982, 283) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 982, 283, 116, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 283, 116, 959?
GCD of 982, 283, 116, 959 is 1
2. Where do I get the detailed procedure to find GCD of 982, 283, 116, 959?
You can find a detailed procedure to find GCD of 982, 283, 116, 959 on our page.
3. How to find GCD of 982, 283, 116, 959 on a calculator?
You can find the GCD of 982, 283, 116, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.