Online GCD Calculator is useful to find the GCD of 212, 312, 912, 248 quickly. Get the easiest ways to solve the greatest common divisor of 212, 312, 912, 248 i.e 4 in different methods as follows.
Given Input numbers are 212, 312, 912, 248
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 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (212, 312, 912, 248) = 4.
Given numbers are 212, 312, 912, 248
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 212, 312, 912, 248 is 4.
Given numbers are 212, 312, 912, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 312) = 16536
GCD(212, 312) = ( 212 x 312 ) / 16536
= 212 / 312
= 212
Step2:
LCM(4, 912) = 912
GCD(4, 912) = ( 4 x 912 ) / 912
= 4 / 912
= 4
Step3:
LCM(4, 248) = 248
GCD(4, 248) = ( 4 x 248 ) / 248
= 4 / 248
= 4
So, Greatest Common Divisor of 212, 312, 912, 248 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 312, 912, 248
The greatest common divisor of numbers 212, 312, 912, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 312, 912, 248 is 4.
1. What is the GCD of 212, 312, 912, 248?
GCD of given numbers 212, 312, 912, 248 is 4
2. How to calculate the greatest common divisor of 212, 312, 912, 248?
We can find the highest common divisor of 212, 312, 912, 248 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, 312, 912, 248 i.e 4.
3. How can I use the GCD of 212, 312, 912, 248Calculator?
Out the numbers 212, 312, 912, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.