Online GCD Calculator is useful to find the GCD of 308, 224, 182, 888 quickly. Get the easiest ways to solve the greatest common divisor of 308, 224, 182, 888 i.e 2 in different methods as follows.
Given Input numbers are 308, 224, 182, 888
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 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
GCD of numbers is the greatest common divisor
So, the GCD (308, 224, 182, 888) = 2.
Given numbers are 308, 224, 182, 888
The list of prime factors of all numbers are
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 182 are 2 x 7 x 13
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
The highest common occurrence is 21
Therefore, GCD of 308, 224, 182, 888 is 2.
Given numbers are 308, 224, 182, 888
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(308, 224) = 2464
GCD(308, 224) = ( 308 x 224 ) / 2464
= 308 / 224
= 308
Step2:
LCM(28, 182) = 364
GCD(28, 182) = ( 28 x 182 ) / 364
= 28 / 182
= 28
Step3:
LCM(14, 888) = 6216
GCD(14, 888) = ( 14 x 888 ) / 6216
= 14 / 888
= 14
So, Greatest Common Divisor of 308, 224, 182, 888 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 308, 224, 182, 888
The greatest common divisor of numbers 308, 224, 182, 888 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 224, 182, 888 is 2.
1. What is the GCD of 308, 224, 182, 888?
GCD of given numbers 308, 224, 182, 888 is 2
2. How to calculate the greatest common divisor of 308, 224, 182, 888?
We can find the highest common divisor of 308, 224, 182, 888 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, 224, 182, 888 i.e 2.
3. How can I use the GCD of 308, 224, 182, 888Calculator?
Out the numbers 308, 224, 182, 888 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.