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 987, 122, 683, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 122, 683, 187 is 1
GCD(987, 122, 683, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 122, 683, 187 is 1
GCD(987, 122, 683, 187) = 1
Given Input numbers are 987, 122, 683, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 987, 122, 683, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 122, 683, 187 is 1.
Therefore, GCD of numbers 987, 122, 683, 187 is 1
Given Input Data is 987, 122, 683, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 122 is 2 x 61
Prime Factorization of 683 is 683
Prime Factorization of 187 is 11 x 17
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(987, 122) = 120414
GCD(987, 122) = ( 987 x 122 ) / 120414
GCD(987, 122) = 120414 / 120414
GCD(987, 122) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
GCD(1, 187) = 187 / 187
GCD(1, 187) = 1
GCD of 987, 122, 683, 187 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 122, 683, 187?
GCD of 987, 122, 683, 187 is 1
2. Where do I get the detailed procedure to find GCD of 987, 122, 683, 187?
You can find a detailed procedure to find GCD of 987, 122, 683, 187 on our page.
3. How to find GCD of 987, 122, 683, 187 on a calculator?
You can find the GCD of 987, 122, 683, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.