Online GCD Calculator is useful to find the GCD of 908, 456, 304, 962 quickly. Get the easiest ways to solve the greatest common divisor of 908, 456, 304, 962 i.e 2 in different methods as follows.
Given Input numbers are 908, 456, 304, 962
In the factoring method, we have to find the divisors of all numbers
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 304 :
The positive integer divisors of 304 that completely divides 304 are.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (908, 456, 304, 962) = 2.
Given numbers are 908, 456, 304, 962
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 908, 456, 304, 962 is 2.
Given numbers are 908, 456, 304, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 456) = 103512
GCD(908, 456) = ( 908 x 456 ) / 103512
= 908 / 456
= 908
Step2:
LCM(4, 304) = 304
GCD(4, 304) = ( 4 x 304 ) / 304
= 4 / 304
= 4
Step3:
LCM(4, 962) = 1924
GCD(4, 962) = ( 4 x 962 ) / 1924
= 4 / 962
= 4
So, Greatest Common Divisor of 908, 456, 304, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 456, 304, 962
The greatest common divisor of numbers 908, 456, 304, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 456, 304, 962 is 2.
1. What is the GCD of 908, 456, 304, 962?
GCD of given numbers 908, 456, 304, 962 is 2
2. How to calculate the greatest common divisor of 908, 456, 304, 962?
We can find the highest common divisor of 908, 456, 304, 962 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 908, 456, 304, 962 i.e 2.
3. How can I use the GCD of 908, 456, 304, 962Calculator?
Out the numbers 908, 456, 304, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.