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, 107, 23, 669 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 107, 23, 669 is 1
GCD(731, 107, 23, 669) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 107, 23, 669 is 1
GCD(731, 107, 23, 669) = 1
Given Input numbers are 731, 107, 23, 669
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 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Greatest Common Divisior
We found the divisors of 731, 107, 23, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 107, 23, 669 is 1.
Therefore, GCD of numbers 731, 107, 23, 669 is 1
Given Input Data is 731, 107, 23, 669
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 107 is 107
Prime Factorization of 23 is 23
Prime Factorization of 669 is 3 x 223
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, 107) = 78217
GCD(731, 107) = ( 731 x 107 ) / 78217
GCD(731, 107) = 78217 / 78217
GCD(731, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 669
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 669) = 669
GCD(1, 669) = ( 1 x 669 ) / 669
GCD(1, 669) = 669 / 669
GCD(1, 669) = 1
GCD of 731, 107, 23, 669 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 107, 23, 669?
GCD of 731, 107, 23, 669 is 1
2. Where do I get the detailed procedure to find GCD of 731, 107, 23, 669?
You can find a detailed procedure to find GCD of 731, 107, 23, 669 on our page.
3. How to find GCD of 731, 107, 23, 669 on a calculator?
You can find the GCD of 731, 107, 23, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.