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 985, 820, 82, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 985, 820, 82, 194 is 1
GCD(985, 820, 82, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 985, 820, 82, 194 is 1
GCD(985, 820, 82, 194) = 1
Given Input numbers are 985, 820, 82, 194
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Greatest Common Divisior
We found the divisors of 985, 820, 82, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 985, 820, 82, 194 is 1.
Therefore, GCD of numbers 985, 820, 82, 194 is 1
Given Input Data is 985, 820, 82, 194
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 985 is 5 x 197
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 82 is 2 x 41
Prime Factorization of 194 is 2 x 97
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(985, 820) = 161540
GCD(985, 820) = ( 985 x 820 ) / 161540
GCD(985, 820) = 807700 / 161540
GCD(985, 820) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 82) = 410
GCD(5, 82) = ( 5 x 82 ) / 410
GCD(5, 82) = 410 / 410
GCD(5, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
GCD of 985, 820, 82, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 985, 820, 82, 194?
GCD of 985, 820, 82, 194 is 1
2. Where do I get the detailed procedure to find GCD of 985, 820, 82, 194?
You can find a detailed procedure to find GCD of 985, 820, 82, 194 on our page.
3. How to find GCD of 985, 820, 82, 194 on a calculator?
You can find the GCD of 985, 820, 82, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.