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 72, 273, 430, 266 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 273, 430, 266 is 1
GCD(72, 273, 430, 266) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 273, 430, 266 is 1
GCD(72, 273, 430, 266) = 1
Given Input numbers are 72, 273, 430, 266
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Greatest Common Divisior
We found the divisors of 72, 273, 430, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 273, 430, 266 is 1.
Therefore, GCD of numbers 72, 273, 430, 266 is 1
Given Input Data is 72, 273, 430, 266
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 266 is 2 x 7 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(72, 273) = 6552
GCD(72, 273) = ( 72 x 273 ) / 6552
GCD(72, 273) = 19656 / 6552
GCD(72, 273) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 430) = 1290
GCD(3, 430) = ( 3 x 430 ) / 1290
GCD(3, 430) = 1290 / 1290
GCD(3, 430) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
GCD of 72, 273, 430, 266 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 273, 430, 266?
GCD of 72, 273, 430, 266 is 1
2. Where do I get the detailed procedure to find GCD of 72, 273, 430, 266?
You can find a detailed procedure to find GCD of 72, 273, 430, 266 on our page.
3. How to find GCD of 72, 273, 430, 266 on a calculator?
You can find the GCD of 72, 273, 430, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.