Online GCD Calculator is useful to find the GCD of 394, 208, 550, 272 quickly. Get the easiest ways to solve the greatest common divisor of 394, 208, 550, 272 i.e 2 in different methods as follows.
Given Input numbers are 394, 208, 550, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
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 (394, 208, 550, 272) = 2.
Given numbers are 394, 208, 550, 272
The list of prime factors of all numbers are
Prime factors of 394 are 2 x 197
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 394, 208, 550, 272 is 2.
Given numbers are 394, 208, 550, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(394, 208) = 40976
GCD(394, 208) = ( 394 x 208 ) / 40976
= 394 / 208
= 394
Step2:
LCM(2, 550) = 550
GCD(2, 550) = ( 2 x 550 ) / 550
= 2 / 550
= 2
Step3:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 394, 208, 550, 272 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 394, 208, 550, 272
The greatest common divisor of numbers 394, 208, 550, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 208, 550, 272 is 2.
1. What is the GCD of 394, 208, 550, 272?
GCD of given numbers 394, 208, 550, 272 is 2
2. How to calculate the greatest common divisor of 394, 208, 550, 272?
We can find the highest common divisor of 394, 208, 550, 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 394, 208, 550, 272 i.e 2.
3. How can I use the GCD of 394, 208, 550, 272Calculator?
Out the numbers 394, 208, 550, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.