Online GCD Calculator is useful to find the GCD of 272, 392, 904 quickly. Get the easiest ways to solve the greatest common divisor of 272, 392, 904 i.e 8 in different methods as follows.
Given Input numbers are 272, 392, 904
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
GCD of numbers is the greatest common divisor
So, the GCD (272, 392, 904) = 8.
Given numbers are 272, 392, 904
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
Prime factors of 904 are 2 x 2 x 2 x 113
The highest common occurrence is 23
Therefore, GCD of 272, 392, 904 is 8.
Given numbers are 272, 392, 904
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 392) = 13328
GCD(272, 392) = ( 272 x 392 ) / 13328
= 272 / 392
= 272
Step2:
LCM(8, 904) = 904
GCD(8, 904) = ( 8 x 904 ) / 904
= 8 / 904
= 8
So, Greatest Common Divisor of 272, 392, 904 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 392, 904
The greatest common divisor of numbers 272, 392, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 392, 904 is 8.
1. What is the GCD of 272, 392, 904?
GCD of given numbers 272, 392, 904 is 8
2. How to calculate the greatest common divisor of 272, 392, 904?
We can find the highest common divisor of 272, 392, 904 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 272, 392, 904 i.e 8.
3. How can I use the GCD of 272, 392, 904Calculator?
Out the numbers 272, 392, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.