Online GCD Calculator is useful to find the GCD of 308, 278, 304, 182 quickly. Get the easiest ways to solve the greatest common divisor of 308, 278, 304, 182 i.e 2 in different methods as follows.
Given Input numbers are 308, 278, 304, 182
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 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
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 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (308, 278, 304, 182) = 2.
Given numbers are 308, 278, 304, 182
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 278 are 2 x 139
Prime factors of 304 are 2 x 2 x 2 x 2 x 19
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 308, 278, 304, 182 is 2.
Given numbers are 308, 278, 304, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 278) = 42812
GCD(308, 278) = ( 308 x 278 ) / 42812
= 308 / 278
= 308
Step2:
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
= 2 / 304
= 2
Step3:
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
= 2 / 182
= 2
So, Greatest Common Divisor of 308, 278, 304, 182 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 278, 304, 182
The greatest common divisor of numbers 308, 278, 304, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 278, 304, 182 is 2.
1. What is the GCD of 308, 278, 304, 182?
GCD of given numbers 308, 278, 304, 182 is 2
2. How to calculate the greatest common divisor of 308, 278, 304, 182?
We can find the highest common divisor of 308, 278, 304, 182 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, 278, 304, 182 i.e 2.
3. How can I use the GCD of 308, 278, 304, 182Calculator?
Out the numbers 308, 278, 304, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.