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, 413, 92, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 413, 92, 304 is 1
GCD(987, 413, 92, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 413, 92, 304 is 1
GCD(987, 413, 92, 304) = 1
Given Input numbers are 987, 413, 92, 304
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 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 987, 413, 92, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 413, 92, 304 is 1.
Therefore, GCD of numbers 987, 413, 92, 304 is 1
Given Input Data is 987, 413, 92, 304
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 413 is 7 x 59
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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, 413) = 58233
GCD(987, 413) = ( 987 x 413 ) / 58233
GCD(987, 413) = 407631 / 58233
GCD(987, 413) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 92) = 644
GCD(7, 92) = ( 7 x 92 ) / 644
GCD(7, 92) = 644 / 644
GCD(7, 92) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 987, 413, 92, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 413, 92, 304?
GCD of 987, 413, 92, 304 is 1
2. Where do I get the detailed procedure to find GCD of 987, 413, 92, 304?
You can find a detailed procedure to find GCD of 987, 413, 92, 304 on our page.
3. How to find GCD of 987, 413, 92, 304 on a calculator?
You can find the GCD of 987, 413, 92, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.