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 275, 387, 96, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 387, 96, 489 is 1
GCD(275, 387, 96, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 387, 96, 489 is 1
GCD(275, 387, 96, 489) = 1
Given Input numbers are 275, 387, 96, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 275, 387, 96, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 387, 96, 489 is 1.
Therefore, GCD of numbers 275, 387, 96, 489 is 1
Given Input Data is 275, 387, 96, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 489 is 3 x 163
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(275, 387) = 106425
GCD(275, 387) = ( 275 x 387 ) / 106425
GCD(275, 387) = 106425 / 106425
GCD(275, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 275, 387, 96, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 387, 96, 489?
GCD of 275, 387, 96, 489 is 1
2. Where do I get the detailed procedure to find GCD of 275, 387, 96, 489?
You can find a detailed procedure to find GCD of 275, 387, 96, 489 on our page.
3. How to find GCD of 275, 387, 96, 489 on a calculator?
You can find the GCD of 275, 387, 96, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.