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 28, 359, 272, 655 i.e. 1 largest integer that divides all the numbers equally.
GCD of 28, 359, 272, 655 is 1
GCD(28, 359, 272, 655) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 28, 359, 272, 655 is 1
GCD(28, 359, 272, 655) = 1
Given Input numbers are 28, 359, 272, 655
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
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 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Greatest Common Divisior
We found the divisors of 28, 359, 272, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 359, 272, 655 is 1.
Therefore, GCD of numbers 28, 359, 272, 655 is 1
Given Input Data is 28, 359, 272, 655
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 359 is 359
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 655 is 5 x 131
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(28, 359) = 10052
GCD(28, 359) = ( 28 x 359 ) / 10052
GCD(28, 359) = 10052 / 10052
GCD(28, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 272
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
GCD(1, 272) = 272 / 272
GCD(1, 272) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 655) = 655
GCD(1, 655) = ( 1 x 655 ) / 655
GCD(1, 655) = 655 / 655
GCD(1, 655) = 1
GCD of 28, 359, 272, 655 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 28, 359, 272, 655?
GCD of 28, 359, 272, 655 is 1
2. Where do I get the detailed procedure to find GCD of 28, 359, 272, 655?
You can find a detailed procedure to find GCD of 28, 359, 272, 655 on our page.
3. How to find GCD of 28, 359, 272, 655 on a calculator?
You can find the GCD of 28, 359, 272, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.