Online GCD Calculator is useful to find the GCD of 384, 952, 212, 422 quickly. Get the easiest ways to solve the greatest common divisor of 384, 952, 212, 422 i.e 2 in different methods as follows.
Given Input numbers are 384, 952, 212, 422
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (384, 952, 212, 422) = 2.
Given numbers are 384, 952, 212, 422
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 212 are 2 x 2 x 53
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 384, 952, 212, 422 is 2.
Given numbers are 384, 952, 212, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 952) = 45696
GCD(384, 952) = ( 384 x 952 ) / 45696
= 384 / 952
= 384
Step2:
LCM(8, 212) = 424
GCD(8, 212) = ( 8 x 212 ) / 424
= 8 / 212
= 8
Step3:
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
= 4 / 422
= 4
So, Greatest Common Divisor of 384, 952, 212, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 952, 212, 422
The greatest common divisor of numbers 384, 952, 212, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 952, 212, 422 is 2.
1. What is the GCD of 384, 952, 212, 422?
GCD of given numbers 384, 952, 212, 422 is 2
2. How to calculate the greatest common divisor of 384, 952, 212, 422?
We can find the highest common divisor of 384, 952, 212, 422 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 384, 952, 212, 422 i.e 2.
3. How can I use the GCD of 384, 952, 212, 422Calculator?
Out the numbers 384, 952, 212, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.