Online GCD Calculator is useful to find the GCD of 398, 212, 236, 272 quickly. Get the easiest ways to solve the greatest common divisor of 398, 212, 236, 272 i.e 2 in different methods as follows.
Given Input numbers are 398, 212, 236, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (398, 212, 236, 272) = 2.
Given numbers are 398, 212, 236, 272
The list of prime factors of all numbers are
Prime factors of 398 are 2 x 199
Prime factors of 212 are 2 x 2 x 53
Prime factors of 236 are 2 x 2 x 59
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 398, 212, 236, 272 is 2.
Given numbers are 398, 212, 236, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(398, 212) = 42188
GCD(398, 212) = ( 398 x 212 ) / 42188
= 398 / 212
= 398
Step2:
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
= 2 / 236
= 2
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 398, 212, 236, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 398, 212, 236, 272
The greatest common divisor of numbers 398, 212, 236, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 212, 236, 272 is 2.
1. What is the GCD of 398, 212, 236, 272?
GCD of given numbers 398, 212, 236, 272 is 2
2. How to calculate the greatest common divisor of 398, 212, 236, 272?
We can find the highest common divisor of 398, 212, 236, 272 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 398, 212, 236, 272 i.e 2.
3. How can I use the GCD of 398, 212, 236, 272Calculator?
Out the numbers 398, 212, 236, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.