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, 519, 365, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 519, 365, 679 is 1
GCD(987, 519, 365, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 519, 365, 679 is 1
GCD(987, 519, 365, 679) = 1
Given Input numbers are 987, 519, 365, 679
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 519
List of positive integer divisors of 519 that divides 519 without a remainder.
1, 3, 173, 519
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 987, 519, 365, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 519, 365, 679 is 1.
Therefore, GCD of numbers 987, 519, 365, 679 is 1
Given Input Data is 987, 519, 365, 679
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 519 is 3 x 173
Prime Factorization of 365 is 5 x 73
Prime Factorization of 679 is 7 x 97
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, 519) = 170751
GCD(987, 519) = ( 987 x 519 ) / 170751
GCD(987, 519) = 512253 / 170751
GCD(987, 519) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 365) = 1095
GCD(3, 365) = ( 3 x 365 ) / 1095
GCD(3, 365) = 1095 / 1095
GCD(3, 365) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 987, 519, 365, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 519, 365, 679?
GCD of 987, 519, 365, 679 is 1
2. Where do I get the detailed procedure to find GCD of 987, 519, 365, 679?
You can find a detailed procedure to find GCD of 987, 519, 365, 679 on our page.
3. How to find GCD of 987, 519, 365, 679 on a calculator?
You can find the GCD of 987, 519, 365, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.