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 683, 470, 81, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 683, 470, 81, 987 is 1
GCD(683, 470, 81, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 683, 470, 81, 987 is 1
GCD(683, 470, 81, 987) = 1
Given Input numbers are 683, 470, 81, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 683, 470, 81, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 470, 81, 987 is 1.
Therefore, GCD of numbers 683, 470, 81, 987 is 1
Given Input Data is 683, 470, 81, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 683 is 683
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 987 is 3 x 7 x 47
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(683, 470) = 321010
GCD(683, 470) = ( 683 x 470 ) / 321010
GCD(683, 470) = 321010 / 321010
GCD(683, 470) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 683, 470, 81, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 683, 470, 81, 987?
GCD of 683, 470, 81, 987 is 1
2. Where do I get the detailed procedure to find GCD of 683, 470, 81, 987?
You can find a detailed procedure to find GCD of 683, 470, 81, 987 on our page.
3. How to find GCD of 683, 470, 81, 987 on a calculator?
You can find the GCD of 683, 470, 81, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.