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 403, 288, 46, 764 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 288, 46, 764 is 1
GCD(403, 288, 46, 764) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 288, 46, 764 is 1
GCD(403, 288, 46, 764) = 1
Given Input numbers are 403, 288, 46, 764
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 403, 288, 46, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 288, 46, 764 is 1.
Therefore, GCD of numbers 403, 288, 46, 764 is 1
Given Input Data is 403, 288, 46, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 46 is 2 x 23
Prime Factorization of 764 is 2 x 2 x 191
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(403, 288) = 116064
GCD(403, 288) = ( 403 x 288 ) / 116064
GCD(403, 288) = 116064 / 116064
GCD(403, 288) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
GCD of 403, 288, 46, 764 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 288, 46, 764?
GCD of 403, 288, 46, 764 is 1
2. Where do I get the detailed procedure to find GCD of 403, 288, 46, 764?
You can find a detailed procedure to find GCD of 403, 288, 46, 764 on our page.
3. How to find GCD of 403, 288, 46, 764 on a calculator?
You can find the GCD of 403, 288, 46, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.