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, 655, 318, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 384, 655, 318, 703 is 1
GCD(384, 655, 318, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 384, 655, 318, 703 is 1
GCD(384, 655, 318, 703) = 1
Given Input numbers are 384, 655, 318, 703
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 384, 655, 318, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 655, 318, 703 is 1.
Therefore, GCD of numbers 384, 655, 318, 703 is 1
Given Input Data is 384, 655, 318, 703
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 655 is 5 x 131
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 703 is 19 x 37
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, 655) = 251520
GCD(384, 655) = ( 384 x 655 ) / 251520
GCD(384, 655) = 251520 / 251520
GCD(384, 655) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 318) = 318
GCD(1, 318) = ( 1 x 318 ) / 318
GCD(1, 318) = 318 / 318
GCD(1, 318) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 384, 655, 318, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 384, 655, 318, 703?
GCD of 384, 655, 318, 703 is 1
2. Where do I get the detailed procedure to find GCD of 384, 655, 318, 703?
You can find a detailed procedure to find GCD of 384, 655, 318, 703 on our page.
3. How to find GCD of 384, 655, 318, 703 on a calculator?
You can find the GCD of 384, 655, 318, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.