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 648, 596, 835, 272 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 596, 835, 272 is 1
GCD(648, 596, 835, 272) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 596, 835, 272 is 1
GCD(648, 596, 835, 272) = 1
Given Input numbers are 648, 596, 835, 272
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
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
Greatest Common Divisior
We found the divisors of 648, 596, 835, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 596, 835, 272 is 1.
Therefore, GCD of numbers 648, 596, 835, 272 is 1
Given Input Data is 648, 596, 835, 272
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 835 is 5 x 167
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
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(648, 596) = 96552
GCD(648, 596) = ( 648 x 596 ) / 96552
GCD(648, 596) = 386208 / 96552
GCD(648, 596) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 835
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 835) = 3340
GCD(4, 835) = ( 4 x 835 ) / 3340
GCD(4, 835) = 3340 / 3340
GCD(4, 835) = 1
Step3:
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
GCD of 648, 596, 835, 272 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 596, 835, 272?
GCD of 648, 596, 835, 272 is 1
2. Where do I get the detailed procedure to find GCD of 648, 596, 835, 272?
You can find a detailed procedure to find GCD of 648, 596, 835, 272 on our page.
3. How to find GCD of 648, 596, 835, 272 on a calculator?
You can find the GCD of 648, 596, 835, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.