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 731, 128, 39, 456 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 128, 39, 456 is 1
GCD(731, 128, 39, 456) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 128, 39, 456 is 1
GCD(731, 128, 39, 456) = 1
Given Input numbers are 731, 128, 39, 456
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Greatest Common Divisior
We found the divisors of 731, 128, 39, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 128, 39, 456 is 1.
Therefore, GCD of numbers 731, 128, 39, 456 is 1
Given Input Data is 731, 128, 39, 456
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 39 is 3 x 13
Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19
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(731, 128) = 93568
GCD(731, 128) = ( 731 x 128 ) / 93568
GCD(731, 128) = 93568 / 93568
GCD(731, 128) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 39) = 39
GCD(1, 39) = ( 1 x 39 ) / 39
GCD(1, 39) = 39 / 39
GCD(1, 39) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 456
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 456) = 456
GCD(1, 456) = ( 1 x 456 ) / 456
GCD(1, 456) = 456 / 456
GCD(1, 456) = 1
GCD of 731, 128, 39, 456 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 128, 39, 456?
GCD of 731, 128, 39, 456 is 1
2. Where do I get the detailed procedure to find GCD of 731, 128, 39, 456?
You can find a detailed procedure to find GCD of 731, 128, 39, 456 on our page.
3. How to find GCD of 731, 128, 39, 456 on a calculator?
You can find the GCD of 731, 128, 39, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.