Online GCD Calculator is useful to find the GCD of 366, 376, 814, 652 quickly. Get the easiest ways to solve the greatest common divisor of 366, 376, 814, 652 i.e 2 in different methods as follows.
Given Input numbers are 366, 376, 814, 652
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
GCD of numbers is the greatest common divisor
So, the GCD (366, 376, 814, 652) = 2.
Given numbers are 366, 376, 814, 652
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 814 are 2 x 11 x 37
Prime factors of 652 are 2 x 2 x 163
The highest common occurrence is 21
Therefore, GCD of 366, 376, 814, 652 is 2.
Given numbers are 366, 376, 814, 652
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 376) = 68808
GCD(366, 376) = ( 366 x 376 ) / 68808
= 366 / 376
= 366
Step2:
LCM(2, 814) = 814
GCD(2, 814) = ( 2 x 814 ) / 814
= 2 / 814
= 2
Step3:
LCM(2, 652) = 652
GCD(2, 652) = ( 2 x 652 ) / 652
= 2 / 652
= 2
So, Greatest Common Divisor of 366, 376, 814, 652 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 376, 814, 652
The greatest common divisor of numbers 366, 376, 814, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 376, 814, 652 is 2.
1. What is the GCD of 366, 376, 814, 652?
GCD of given numbers 366, 376, 814, 652 is 2
2. How to calculate the greatest common divisor of 366, 376, 814, 652?
We can find the highest common divisor of 366, 376, 814, 652 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, 376, 814, 652 i.e 2.
3. How can I use the GCD of 366, 376, 814, 652Calculator?
Out the numbers 366, 376, 814, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.