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 387, 987, 93, 483 i.e. 3 largest integer that divides all the numbers equally.
GCD of 387, 987, 93, 483 is 3
GCD(387, 987, 93, 483) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 987, 93, 483 is 3
GCD(387, 987, 93, 483) = 3
Given Input numbers are 387, 987, 93, 483
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
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 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Greatest Common Divisior
We found the divisors of 387, 987, 93, 483 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 987, 93, 483 is 3.
Therefore, GCD of numbers 387, 987, 93, 483 is 3
Given Input Data is 387, 987, 93, 483
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 93 is 3 x 31
Prime Factorization of 483 is 3 x 7 x 23
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(387, 987) = 127323
GCD(387, 987) = ( 387 x 987 ) / 127323
GCD(387, 987) = 381969 / 127323
GCD(387, 987) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 93) = 93
GCD(3, 93) = ( 3 x 93 ) / 93
GCD(3, 93) = 279 / 93
GCD(3, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 483) = 483
GCD(3, 483) = ( 3 x 483 ) / 483
GCD(3, 483) = 1449 / 483
GCD(3, 483) = 3
GCD of 387, 987, 93, 483 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 987, 93, 483?
GCD of 387, 987, 93, 483 is 3
2. Where do I get the detailed procedure to find GCD of 387, 987, 93, 483?
You can find a detailed procedure to find GCD of 387, 987, 93, 483 on our page.
3. How to find GCD of 387, 987, 93, 483 on a calculator?
You can find the GCD of 387, 987, 93, 483 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.