Online GCD Calculator is useful to find the GCD of 308, 608, 338, 456 quickly. Get the easiest ways to solve the greatest common divisor of 308, 608, 338, 456 i.e 2 in different methods as follows.
Given Input numbers are 308, 608, 338, 456
In the factoring method, we have to find the divisors of all numbers
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 608 :
The positive integer divisors of 608 that completely divides 608 are.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
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
GCD of numbers is the greatest common divisor
So, the GCD (308, 608, 338, 456) = 2.
Given numbers are 308, 608, 338, 456
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 308, 608, 338, 456 is 2.
Given numbers are 308, 608, 338, 456
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 608) = 46816
GCD(308, 608) = ( 308 x 608 ) / 46816
= 308 / 608
= 308
Step2:
LCM(4, 338) = 676
GCD(4, 338) = ( 4 x 338 ) / 676
= 4 / 338
= 4
Step3:
LCM(2, 456) = 456
GCD(2, 456) = ( 2 x 456 ) / 456
= 2 / 456
= 2
So, Greatest Common Divisor of 308, 608, 338, 456 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 608, 338, 456
The greatest common divisor of numbers 308, 608, 338, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 608, 338, 456 is 2.
1. What is the GCD of 308, 608, 338, 456?
GCD of given numbers 308, 608, 338, 456 is 2
2. How to calculate the greatest common divisor of 308, 608, 338, 456?
We can find the highest common divisor of 308, 608, 338, 456 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 308, 608, 338, 456 i.e 2.
3. How can I use the GCD of 308, 608, 338, 456Calculator?
Out the numbers 308, 608, 338, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.