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, 509, 32 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 509, 32 is 1
GCD(987, 509, 32) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 509, 32 is 1
GCD(987, 509, 32) = 1
Given Input numbers are 987, 509, 32
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Greatest Common Divisior
We found the divisors of 987, 509, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 509, 32 is 1.
Therefore, GCD of numbers 987, 509, 32 is 1
Given Input Data is 987, 509, 32
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 509 is 509
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
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, 509) = 502383
GCD(987, 509) = ( 987 x 509 ) / 502383
GCD(987, 509) = 502383 / 502383
GCD(987, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
GCD of 987, 509, 32 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 509, 32?
GCD of 987, 509, 32 is 1
2. Where do I get the detailed procedure to find GCD of 987, 509, 32?
You can find a detailed procedure to find GCD of 987, 509, 32 on our page.
3. How to find GCD of 987, 509, 32 on a calculator?
You can find the GCD of 987, 509, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.