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, 566, 96, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 566, 96, 846 is 1
GCD(387, 566, 96, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 566, 96, 846 is 1
GCD(387, 566, 96, 846) = 1
Given Input numbers are 387, 566, 96, 846
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 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
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 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 387, 566, 96, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 566, 96, 846 is 1.
Therefore, GCD of numbers 387, 566, 96, 846 is 1
Given Input Data is 387, 566, 96, 846
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 566 is 2 x 283
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(387, 566) = 219042
GCD(387, 566) = ( 387 x 566 ) / 219042
GCD(387, 566) = 219042 / 219042
GCD(387, 566) = 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 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 387, 566, 96, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 566, 96, 846?
GCD of 387, 566, 96, 846 is 1
2. Where do I get the detailed procedure to find GCD of 387, 566, 96, 846?
You can find a detailed procedure to find GCD of 387, 566, 96, 846 on our page.
3. How to find GCD of 387, 566, 96, 846 on a calculator?
You can find the GCD of 387, 566, 96, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.