Online GCD Calculator is useful to find the GCD of 212, 448, 62, 216 quickly. Get the easiest ways to solve the greatest common divisor of 212, 448, 62, 216 i.e 2 in different methods as follows.
Given Input numbers are 212, 448, 62, 216
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 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 62 :
The positive integer divisors of 62 that completely divides 62 are.
1, 2, 31, 62
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 (212, 448, 62, 216) = 2.
Given numbers are 212, 448, 62, 216
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 62 are 2 x 31
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 212, 448, 62, 216 is 2.
Given numbers are 212, 448, 62, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 448) = 23744
GCD(212, 448) = ( 212 x 448 ) / 23744
= 212 / 448
= 212
Step2:
LCM(4, 62) = 124
GCD(4, 62) = ( 4 x 62 ) / 124
= 4 / 62
= 4
Step3:
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
= 2 / 216
= 2
So, Greatest Common Divisor of 212, 448, 62, 216 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 448, 62, 216
The greatest common divisor of numbers 212, 448, 62, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 448, 62, 216 is 2.
1. What is the GCD of 212, 448, 62, 216?
GCD of given numbers 212, 448, 62, 216 is 2
2. How to calculate the greatest common divisor of 212, 448, 62, 216?
We can find the highest common divisor of 212, 448, 62, 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 212, 448, 62, 216 i.e 2.
3. How can I use the GCD of 212, 448, 62, 216Calculator?
Out the numbers 212, 448, 62, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.