Online GCD Calculator is useful to find the GCD of 240, 546, 530, 816 quickly. Get the easiest ways to solve the greatest common divisor of 240, 546, 530, 816 i.e 2 in different methods as follows.
Given Input numbers are 240, 546, 530, 816
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 530 :
The positive integer divisors of 530 that completely divides 530 are.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
GCD of numbers is the greatest common divisor
So, the GCD (240, 546, 530, 816) = 2.
Given numbers are 240, 546, 530, 816
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 530 are 2 x 5 x 53
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 240, 546, 530, 816 is 2.
Given numbers are 240, 546, 530, 816
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 546) = 21840
GCD(240, 546) = ( 240 x 546 ) / 21840
= 240 / 546
= 240
Step2:
LCM(6, 530) = 1590
GCD(6, 530) = ( 6 x 530 ) / 1590
= 6 / 530
= 6
Step3:
LCM(2, 816) = 816
GCD(2, 816) = ( 2 x 816 ) / 816
= 2 / 816
= 2
So, Greatest Common Divisor of 240, 546, 530, 816 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 546, 530, 816
The greatest common divisor of numbers 240, 546, 530, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 546, 530, 816 is 2.
1. What is the GCD of 240, 546, 530, 816?
GCD of given numbers 240, 546, 530, 816 is 2
2. How to calculate the greatest common divisor of 240, 546, 530, 816?
We can find the highest common divisor of 240, 546, 530, 816 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 240, 546, 530, 816 i.e 2.
3. How can I use the GCD of 240, 546, 530, 816Calculator?
Out the numbers 240, 546, 530, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.