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 730, 967, 13, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 967, 13, 667 is 1
GCD(730, 967, 13, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 967, 13, 667 is 1
GCD(730, 967, 13, 667) = 1
Given Input numbers are 730, 967, 13, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 730, 967, 13, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 967, 13, 667 is 1.
Therefore, GCD of numbers 730, 967, 13, 667 is 1
Given Input Data is 730, 967, 13, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 967 is 967
Prime Factorization of 13 is 13
Prime Factorization of 667 is 23 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(730, 967) = 705910
GCD(730, 967) = ( 730 x 967 ) / 705910
GCD(730, 967) = 705910 / 705910
GCD(730, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 730, 967, 13, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 967, 13, 667?
GCD of 730, 967, 13, 667 is 1
2. Where do I get the detailed procedure to find GCD of 730, 967, 13, 667?
You can find a detailed procedure to find GCD of 730, 967, 13, 667 on our page.
3. How to find GCD of 730, 967, 13, 667 on a calculator?
You can find the GCD of 730, 967, 13, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.