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 328, 702, 727, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 702, 727, 400 is 1
GCD(328, 702, 727, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 702, 727, 400 is 1
GCD(328, 702, 727, 400) = 1
Given Input numbers are 328, 702, 727, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 727
List of positive integer divisors of 727 that divides 727 without a remainder.
1, 727
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 328, 702, 727, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 702, 727, 400 is 1.
Therefore, GCD of numbers 328, 702, 727, 400 is 1
Given Input Data is 328, 702, 727, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 727 is 727
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(328, 702) = 115128
GCD(328, 702) = ( 328 x 702 ) / 115128
GCD(328, 702) = 230256 / 115128
GCD(328, 702) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 727
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 727) = 1454
GCD(2, 727) = ( 2 x 727 ) / 1454
GCD(2, 727) = 1454 / 1454
GCD(2, 727) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 328, 702, 727, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 702, 727, 400?
GCD of 328, 702, 727, 400 is 1
2. Where do I get the detailed procedure to find GCD of 328, 702, 727, 400?
You can find a detailed procedure to find GCD of 328, 702, 727, 400 on our page.
3. How to find GCD of 328, 702, 727, 400 on a calculator?
You can find the GCD of 328, 702, 727, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.