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, 389, 149, 783 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 389, 149, 783 is 1
GCD(731, 389, 149, 783) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 389, 149, 783 is 1
GCD(731, 389, 149, 783) = 1
Given Input numbers are 731, 389, 149, 783
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 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Greatest Common Divisior
We found the divisors of 731, 389, 149, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 389, 149, 783 is 1.
Therefore, GCD of numbers 731, 389, 149, 783 is 1
Given Input Data is 731, 389, 149, 783
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 389 is 389
Prime Factorization of 149 is 149
Prime Factorization of 783 is 3 x 3 x 3 x 29
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, 389) = 284359
GCD(731, 389) = ( 731 x 389 ) / 284359
GCD(731, 389) = 284359 / 284359
GCD(731, 389) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
GCD of 731, 389, 149, 783 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 389, 149, 783?
GCD of 731, 389, 149, 783 is 1
2. Where do I get the detailed procedure to find GCD of 731, 389, 149, 783?
You can find a detailed procedure to find GCD of 731, 389, 149, 783 on our page.
3. How to find GCD of 731, 389, 149, 783 on a calculator?
You can find the GCD of 731, 389, 149, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.