Online GCD Calculator is useful to find the GCD of 123, 708, 216 quickly. Get the easiest ways to solve the greatest common divisor of 123, 708, 216 i.e 3 in different methods as follows.
Given Input numbers are 123, 708, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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 (123, 708, 216) = 3.
Given numbers are 123, 708, 216
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 123, 708, 216 is 3.
Given numbers are 123, 708, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 708) = 29028
GCD(123, 708) = ( 123 x 708 ) / 29028
= 123 / 708
= 123
Step2:
LCM(3, 216) = 216
GCD(3, 216) = ( 3 x 216 ) / 216
= 3 / 216
= 3
So, Greatest Common Divisor of 123, 708, 216 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 708, 216
The greatest common divisor of numbers 123, 708, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 708, 216 is 3.
1. What is the GCD of 123, 708, 216?
GCD of given numbers 123, 708, 216 is 3
2. How to calculate the greatest common divisor of 123, 708, 216?
We can find the highest common divisor of 123, 708, 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 123, 708, 216 i.e 3.
3. How can I use the GCD of 123, 708, 216Calculator?
Out the numbers 123, 708, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.