Online GCD Calculator is useful to find the GCD of 273, 324, 780, 540 quickly. Get the easiest ways to solve the greatest common divisor of 273, 324, 780, 540 i.e 3 in different methods as follows.
Given Input numbers are 273, 324, 780, 540
In the factoring method, we have to find the divisors of all numbers
Divisors of 273 :
The positive integer divisors of 273 that completely divides 273 are.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 324 :
The positive integer divisors of 324 that completely divides 324 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
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
GCD of numbers is the greatest common divisor
So, the GCD (273, 324, 780, 540) = 3.
Given numbers are 273, 324, 780, 540
The list of prime factors of all numbers are
Prime factors of 273 are 3 x 7 x 13
Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 273, 324, 780, 540 is 3.
Given numbers are 273, 324, 780, 540
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(273, 324) = 29484
GCD(273, 324) = ( 273 x 324 ) / 29484
= 273 / 324
= 273
Step2:
LCM(3, 780) = 780
GCD(3, 780) = ( 3 x 780 ) / 780
= 3 / 780
= 3
Step3:
LCM(3, 540) = 540
GCD(3, 540) = ( 3 x 540 ) / 540
= 3 / 540
= 3
So, Greatest Common Divisor of 273, 324, 780, 540 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 273, 324, 780, 540
The greatest common divisor of numbers 273, 324, 780, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 324, 780, 540 is 3.
1. What is the GCD of 273, 324, 780, 540?
GCD of given numbers 273, 324, 780, 540 is 3
2. How to calculate the greatest common divisor of 273, 324, 780, 540?
We can find the highest common divisor of 273, 324, 780, 540 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 273, 324, 780, 540 i.e 3.
3. How can I use the GCD of 273, 324, 780, 540Calculator?
Out the numbers 273, 324, 780, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.