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, 598, 806, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 598, 806, 469 is 1
GCD(987, 598, 806, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 598, 806, 469 is 1
GCD(987, 598, 806, 469) = 1
Given Input numbers are 987, 598, 806, 469
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 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 987, 598, 806, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 598, 806, 469 is 1.
Therefore, GCD of numbers 987, 598, 806, 469 is 1
Given Input Data is 987, 598, 806, 469
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 598 is 2 x 13 x 23
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 469 is 7 x 67
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, 598) = 590226
GCD(987, 598) = ( 987 x 598 ) / 590226
GCD(987, 598) = 590226 / 590226
GCD(987, 598) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 806
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 806) = 806
GCD(1, 806) = ( 1 x 806 ) / 806
GCD(1, 806) = 806 / 806
GCD(1, 806) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 987, 598, 806, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 598, 806, 469?
GCD of 987, 598, 806, 469 is 1
2. Where do I get the detailed procedure to find GCD of 987, 598, 806, 469?
You can find a detailed procedure to find GCD of 987, 598, 806, 469 on our page.
3. How to find GCD of 987, 598, 806, 469 on a calculator?
You can find the GCD of 987, 598, 806, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.