Online GCD Calculator is useful to find the GCD of 212, 100, 388 quickly. Get the easiest ways to solve the greatest common divisor of 212, 100, 388 i.e 4 in different methods as follows.
Given Input numbers are 212, 100, 388
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 388 :
The positive integer divisors of 388 that completely divides 388 are.
1, 2, 4, 97, 194, 388
GCD of numbers is the greatest common divisor
So, the GCD (212, 100, 388) = 4.
Given numbers are 212, 100, 388
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 388 are 2 x 2 x 97
The highest common occurrence is 22
Therefore, GCD of 212, 100, 388 is 4.
Given numbers are 212, 100, 388
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 100) = 5300
GCD(212, 100) = ( 212 x 100 ) / 5300
= 212 / 100
= 212
Step2:
LCM(4, 388) = 388
GCD(4, 388) = ( 4 x 388 ) / 388
= 4 / 388
= 4
So, Greatest Common Divisor of 212, 100, 388 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 100, 388
The greatest common divisor of numbers 212, 100, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 100, 388 is 4.
1. What is the GCD of 212, 100, 388?
GCD of given numbers 212, 100, 388 is 4
2. How to calculate the greatest common divisor of 212, 100, 388?
We can find the highest common divisor of 212, 100, 388 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 212, 100, 388 i.e 4.
3. How can I use the GCD of 212, 100, 388Calculator?
Out the numbers 212, 100, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.