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 597, 327, 987 i.e. 3 largest integer that divides all the numbers equally.
GCD of 597, 327, 987 is 3
GCD(597, 327, 987) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 327, 987 is 3
GCD(597, 327, 987) = 3
Given Input numbers are 597, 327, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
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 597, 327, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 327, 987 is 3.
Therefore, GCD of numbers 597, 327, 987 is 3
Given Input Data is 597, 327, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 327 is 3 x 109
Prime Factorization of 987 is 3 x 7 x 47
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(597, 327) = 65073
GCD(597, 327) = ( 597 x 327 ) / 65073
GCD(597, 327) = 195219 / 65073
GCD(597, 327) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 987) = 987
GCD(3, 987) = ( 3 x 987 ) / 987
GCD(3, 987) = 2961 / 987
GCD(3, 987) = 3
GCD of 597, 327, 987 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 327, 987?
GCD of 597, 327, 987 is 3
2. Where do I get the detailed procedure to find GCD of 597, 327, 987?
You can find a detailed procedure to find GCD of 597, 327, 987 on our page.
3. How to find GCD of 597, 327, 987 on a calculator?
You can find the GCD of 597, 327, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.