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 384, 639, 633, 310 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 639, 633, 310 is 1
GCD(384, 639, 633, 310) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 639, 633, 310 is 1
GCD(384, 639, 633, 310) = 1
Given Input numbers are 384, 639, 633, 310
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Greatest Common Divisior
We found the divisors of 384, 639, 633, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 639, 633, 310 is 1.
Therefore, GCD of numbers 384, 639, 633, 310 is 1
Given Input Data is 384, 639, 633, 310
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 639 is 3 x 3 x 71
Prime Factorization of 633 is 3 x 211
Prime Factorization of 310 is 2 x 5 x 31
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(384, 639) = 81792
GCD(384, 639) = ( 384 x 639 ) / 81792
GCD(384, 639) = 245376 / 81792
GCD(384, 639) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 633) = 633
GCD(3, 633) = ( 3 x 633 ) / 633
GCD(3, 633) = 1899 / 633
GCD(3, 633) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 310) = 930
GCD(3, 310) = ( 3 x 310 ) / 930
GCD(3, 310) = 930 / 930
GCD(3, 310) = 1
GCD of 384, 639, 633, 310 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 639, 633, 310?
GCD of 384, 639, 633, 310 is 1
2. Where do I get the detailed procedure to find GCD of 384, 639, 633, 310?
You can find a detailed procedure to find GCD of 384, 639, 633, 310 on our page.
3. How to find GCD of 384, 639, 633, 310 on a calculator?
You can find the GCD of 384, 639, 633, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.