Online GCD Calculator is useful to find the GCD of 540, 182, 728, 344 quickly. Get the easiest ways to solve the greatest common divisor of 540, 182, 728, 344 i.e 2 in different methods as follows.
Given Input numbers are 540, 182, 728, 344
In the factoring method, we have to find the divisors of all numbers
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
GCD of numbers is the greatest common divisor
So, the GCD (540, 182, 728, 344) = 2.
Given numbers are 540, 182, 728, 344
The list of prime factors of all numbers are
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 182 are 2 x 7 x 13
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 344 are 2 x 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 540, 182, 728, 344 is 2.
Given numbers are 540, 182, 728, 344
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 182) = 49140
GCD(540, 182) = ( 540 x 182 ) / 49140
= 540 / 182
= 540
Step2:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
Step3:
LCM(2, 344) = 344
GCD(2, 344) = ( 2 x 344 ) / 344
= 2 / 344
= 2
So, Greatest Common Divisor of 540, 182, 728, 344 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 182, 728, 344
The greatest common divisor of numbers 540, 182, 728, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 182, 728, 344 is 2.
1. What is the GCD of 540, 182, 728, 344?
GCD of given numbers 540, 182, 728, 344 is 2
2. How to calculate the greatest common divisor of 540, 182, 728, 344?
We can find the highest common divisor of 540, 182, 728, 344 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 540, 182, 728, 344 i.e 2.
3. How can I use the GCD of 540, 182, 728, 344Calculator?
Out the numbers 540, 182, 728, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.