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, 763, 83, 216 i.e. 1 largest integer that divides all the numbers equally.
GCD of 982, 763, 83, 216 is 1
GCD(982, 763, 83, 216) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 763, 83, 216 is 1
GCD(982, 763, 83, 216) = 1
Given Input numbers are 982, 763, 83, 216
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 982, 763, 83, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 763, 83, 216 is 1.
Therefore, GCD of numbers 982, 763, 83, 216 is 1
Given Input Data is 982, 763, 83, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 763 is 7 x 109
Prime Factorization of 83 is 83
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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, 763) = 749266
GCD(982, 763) = ( 982 x 763 ) / 749266
GCD(982, 763) = 749266 / 749266
GCD(982, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
GCD of 982, 763, 83, 216 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 763, 83, 216?
GCD of 982, 763, 83, 216 is 1
2. Where do I get the detailed procedure to find GCD of 982, 763, 83, 216?
You can find a detailed procedure to find GCD of 982, 763, 83, 216 on our page.
3. How to find GCD of 982, 763, 83, 216 on a calculator?
You can find the GCD of 982, 763, 83, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.