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, 639, 73, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 639, 73, 339 is 1
GCD(648, 639, 73, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 639, 73, 339 is 1
GCD(648, 639, 73, 339) = 1
Given Input numbers are 648, 639, 73, 339
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 639
List of positive integer divisors of 639 that divides 639 without a remainder.
1, 3, 9, 71, 213, 639
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 648, 639, 73, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 639, 73, 339 is 1.
Therefore, GCD of numbers 648, 639, 73, 339 is 1
Given Input Data is 648, 639, 73, 339
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 639 is 3 x 3 x 71
Prime Factorization of 73 is 73
Prime Factorization of 339 is 3 x 113
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, 639) = 46008
GCD(648, 639) = ( 648 x 639 ) / 46008
GCD(648, 639) = 414072 / 46008
GCD(648, 639) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 73) = 657
GCD(9, 73) = ( 9 x 73 ) / 657
GCD(9, 73) = 657 / 657
GCD(9, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
GCD of 648, 639, 73, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 639, 73, 339?
GCD of 648, 639, 73, 339 is 1
2. Where do I get the detailed procedure to find GCD of 648, 639, 73, 339?
You can find a detailed procedure to find GCD of 648, 639, 73, 339 on our page.
3. How to find GCD of 648, 639, 73, 339 on a calculator?
You can find the GCD of 648, 639, 73, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.