Online GCD Calculator is useful to find the GCD of 924, 996, 22, 216 quickly. Get the easiest ways to solve the greatest common divisor of 924, 996, 22, 216 i.e 2 in different methods as follows.
Given Input numbers are 924, 996, 22, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 22 :
The positive integer divisors of 22 that completely divides 22 are.
1, 2, 11, 22
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
GCD of numbers is the greatest common divisor
So, the GCD (924, 996, 22, 216) = 2.
Given numbers are 924, 996, 22, 216
The list of prime factors of all numbers are
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 22 are 2 x 11
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 924, 996, 22, 216 is 2.
Given numbers are 924, 996, 22, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(924, 996) = 76692
GCD(924, 996) = ( 924 x 996 ) / 76692
= 924 / 996
= 924
Step2:
LCM(12, 22) = 132
GCD(12, 22) = ( 12 x 22 ) / 132
= 12 / 22
= 12
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 924, 996, 22, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 924, 996, 22, 216
The greatest common divisor of numbers 924, 996, 22, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 996, 22, 216 is 2.
1. What is the GCD of 924, 996, 22, 216?
GCD of given numbers 924, 996, 22, 216 is 2
2. How to calculate the greatest common divisor of 924, 996, 22, 216?
We can find the highest common divisor of 924, 996, 22, 216 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 924, 996, 22, 216 i.e 2.
3. How can I use the GCD of 924, 996, 22, 216Calculator?
Out the numbers 924, 996, 22, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.