Online GCD Calculator is useful to find the GCD of 366, 136, 318, 824 quickly. Get the easiest ways to solve the greatest common divisor of 366, 136, 318, 824 i.e 2 in different methods as follows.
Given Input numbers are 366, 136, 318, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (366, 136, 318, 824) = 2.
Given numbers are 366, 136, 318, 824
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 318 are 2 x 3 x 53
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 366, 136, 318, 824 is 2.
Given numbers are 366, 136, 318, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 136) = 24888
GCD(366, 136) = ( 366 x 136 ) / 24888
= 366 / 136
= 366
Step2:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 366, 136, 318, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 136, 318, 824
The greatest common divisor of numbers 366, 136, 318, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 136, 318, 824 is 2.
1. What is the GCD of 366, 136, 318, 824?
GCD of given numbers 366, 136, 318, 824 is 2
2. How to calculate the greatest common divisor of 366, 136, 318, 824?
We can find the highest common divisor of 366, 136, 318, 824 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 366, 136, 318, 824 i.e 2.
3. How can I use the GCD of 366, 136, 318, 824Calculator?
Out the numbers 366, 136, 318, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.