Online GCD Calculator is useful to find the GCD of 820, 318, 380, 184 quickly. Get the easiest ways to solve the greatest common divisor of 820, 318, 380, 184 i.e 2 in different methods as follows.
Given Input numbers are 820, 318, 380, 184
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
GCD of numbers is the greatest common divisor
So, the GCD (820, 318, 380, 184) = 2.
Given numbers are 820, 318, 380, 184
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 318 are 2 x 3 x 53
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 184 are 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 820, 318, 380, 184 is 2.
Given numbers are 820, 318, 380, 184
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 318) = 130380
GCD(820, 318) = ( 820 x 318 ) / 130380
= 820 / 318
= 820
Step2:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
Step3:
LCM(2, 184) = 184
GCD(2, 184) = ( 2 x 184 ) / 184
= 2 / 184
= 2
So, Greatest Common Divisor of 820, 318, 380, 184 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 318, 380, 184
The greatest common divisor of numbers 820, 318, 380, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 318, 380, 184 is 2.
1. What is the GCD of 820, 318, 380, 184?
GCD of given numbers 820, 318, 380, 184 is 2
2. How to calculate the greatest common divisor of 820, 318, 380, 184?
We can find the highest common divisor of 820, 318, 380, 184 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 820, 318, 380, 184 i.e 2.
3. How can I use the GCD of 820, 318, 380, 184Calculator?
Out the numbers 820, 318, 380, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.