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 996, 987, 787 i.e. 1 largest integer that divides all the numbers equally.
GCD of 996, 987, 787 is 1
GCD(996, 987, 787) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 996, 987, 787 is 1
GCD(996, 987, 787) = 1
Given Input numbers are 996, 987, 787
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Greatest Common Divisior
We found the divisors of 996, 987, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 996, 987, 787 is 1.
Therefore, GCD of numbers 996, 987, 787 is 1
Given Input Data is 996, 987, 787
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 787 is 787
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(996, 987) = 327684
GCD(996, 987) = ( 996 x 987 ) / 327684
GCD(996, 987) = 983052 / 327684
GCD(996, 987) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 787) = 2361
GCD(3, 787) = ( 3 x 787 ) / 2361
GCD(3, 787) = 2361 / 2361
GCD(3, 787) = 1
GCD of 996, 987, 787 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 996, 987, 787?
GCD of 996, 987, 787 is 1
2. Where do I get the detailed procedure to find GCD of 996, 987, 787?
You can find a detailed procedure to find GCD of 996, 987, 787 on our page.
3. How to find GCD of 996, 987, 787 on a calculator?
You can find the GCD of 996, 987, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.