Online GCD Calculator is useful to find the GCD of 216, 960, 542, 776 quickly. Get the easiest ways to solve the greatest common divisor of 216, 960, 542, 776 i.e 2 in different methods as follows.
Given Input numbers are 216, 960, 542, 776
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
GCD of numbers is the greatest common divisor
So, the GCD (216, 960, 542, 776) = 2.
Given numbers are 216, 960, 542, 776
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 542 are 2 x 271
Prime factors of 776 are 2 x 2 x 2 x 97
The highest common occurrence is 21
Therefore, GCD of 216, 960, 542, 776 is 2.
Given numbers are 216, 960, 542, 776
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 960) = 8640
GCD(216, 960) = ( 216 x 960 ) / 8640
= 216 / 960
= 216
Step2:
LCM(24, 542) = 6504
GCD(24, 542) = ( 24 x 542 ) / 6504
= 24 / 542
= 24
Step3:
LCM(2, 776) = 776
GCD(2, 776) = ( 2 x 776 ) / 776
= 2 / 776
= 2
So, Greatest Common Divisor of 216, 960, 542, 776 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 960, 542, 776
The greatest common divisor of numbers 216, 960, 542, 776 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 960, 542, 776 is 2.
1. What is the GCD of 216, 960, 542, 776?
GCD of given numbers 216, 960, 542, 776 is 2
2. How to calculate the greatest common divisor of 216, 960, 542, 776?
We can find the highest common divisor of 216, 960, 542, 776 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 216, 960, 542, 776 i.e 2.
3. How can I use the GCD of 216, 960, 542, 776Calculator?
Out the numbers 216, 960, 542, 776 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.