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 272, 431, 95, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 272, 431, 95, 608 is 1
GCD(272, 431, 95, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 272, 431, 95, 608 is 1
GCD(272, 431, 95, 608) = 1
Given Input numbers are 272, 431, 95, 608
To find the GCD of numbers using factoring list out all the divisors of each number
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 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 272, 431, 95, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 431, 95, 608 is 1.
Therefore, GCD of numbers 272, 431, 95, 608 is 1
Given Input Data is 272, 431, 95, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 431 is 431
Prime Factorization of 95 is 5 x 19
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(272, 431) = 117232
GCD(272, 431) = ( 272 x 431 ) / 117232
GCD(272, 431) = 117232 / 117232
GCD(272, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 272, 431, 95, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 272, 431, 95, 608?
GCD of 272, 431, 95, 608 is 1
2. Where do I get the detailed procedure to find GCD of 272, 431, 95, 608?
You can find a detailed procedure to find GCD of 272, 431, 95, 608 on our page.
3. How to find GCD of 272, 431, 95, 608 on a calculator?
You can find the GCD of 272, 431, 95, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.