Online GCD Calculator is useful to find the GCD of 540, 573, 390, 108 quickly. Get the easiest ways to solve the greatest common divisor of 540, 573, 390, 108 i.e 3 in different methods as follows.
Given Input numbers are 540, 573, 390, 108
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 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (540, 573, 390, 108) = 3.
Given numbers are 540, 573, 390, 108
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 573 are 3 x 191
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 540, 573, 390, 108 is 3.
Given numbers are 540, 573, 390, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(540, 573) = 103140
GCD(540, 573) = ( 540 x 573 ) / 103140
= 540 / 573
= 540
Step2:
LCM(3, 390) = 390
GCD(3, 390) = ( 3 x 390 ) / 390
= 3 / 390
= 3
Step3:
LCM(3, 108) = 108
GCD(3, 108) = ( 3 x 108 ) / 108
= 3 / 108
= 3
So, Greatest Common Divisor of 540, 573, 390, 108 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 540, 573, 390, 108
The greatest common divisor of numbers 540, 573, 390, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 573, 390, 108 is 3.
1. What is the GCD of 540, 573, 390, 108?
GCD of given numbers 540, 573, 390, 108 is 3
2. How to calculate the greatest common divisor of 540, 573, 390, 108?
We can find the highest common divisor of 540, 573, 390, 108 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, 573, 390, 108 i.e 3.
3. How can I use the GCD of 540, 573, 390, 108Calculator?
Out the numbers 540, 573, 390, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.