Online GCD Calculator is useful to find the GCD of 216, 964, 828, 414 quickly. Get the easiest ways to solve the greatest common divisor of 216, 964, 828, 414 i.e 2 in different methods as follows.
Given Input numbers are 216, 964, 828, 414
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 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (216, 964, 828, 414) = 2.
Given numbers are 216, 964, 828, 414
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 964 are 2 x 2 x 241
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 414 are 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 216, 964, 828, 414 is 2.
Given numbers are 216, 964, 828, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 964) = 52056
GCD(216, 964) = ( 216 x 964 ) / 52056
= 216 / 964
= 216
Step2:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
Step3:
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
= 4 / 414
= 4
So, Greatest Common Divisor of 216, 964, 828, 414 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 216, 964, 828, 414
The greatest common divisor of numbers 216, 964, 828, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 964, 828, 414 is 2.
1. What is the GCD of 216, 964, 828, 414?
GCD of given numbers 216, 964, 828, 414 is 2
2. How to calculate the greatest common divisor of 216, 964, 828, 414?
We can find the highest common divisor of 216, 964, 828, 414 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, 964, 828, 414 i.e 2.
3. How can I use the GCD of 216, 964, 828, 414Calculator?
Out the numbers 216, 964, 828, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.