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 967, 272, 729, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 272, 729, 209 is 1
GCD(967, 272, 729, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 272, 729, 209 is 1
GCD(967, 272, 729, 209) = 1
Given Input numbers are 967, 272, 729, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 967, 272, 729, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 272, 729, 209 is 1.
Therefore, GCD of numbers 967, 272, 729, 209 is 1
Given Input Data is 967, 272, 729, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 209 is 11 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(967, 272) = 263024
GCD(967, 272) = ( 967 x 272 ) / 263024
GCD(967, 272) = 263024 / 263024
GCD(967, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 967, 272, 729, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 272, 729, 209?
GCD of 967, 272, 729, 209 is 1
2. Where do I get the detailed procedure to find GCD of 967, 272, 729, 209?
You can find a detailed procedure to find GCD of 967, 272, 729, 209 on our page.
3. How to find GCD of 967, 272, 729, 209 on a calculator?
You can find the GCD of 967, 272, 729, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.