Online GCD Calculator is useful to find the GCD of 468, 284, 380, 360 quickly. Get the easiest ways to solve the greatest common divisor of 468, 284, 380, 360 i.e 4 in different methods as follows.
Given Input numbers are 468, 284, 380, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (468, 284, 380, 360) = 4.
Given numbers are 468, 284, 380, 360
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 284 are 2 x 2 x 71
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 468, 284, 380, 360 is 4.
Given numbers are 468, 284, 380, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 284) = 33228
GCD(468, 284) = ( 468 x 284 ) / 33228
= 468 / 284
= 468
Step2:
LCM(4, 380) = 380
GCD(4, 380) = ( 4 x 380 ) / 380
= 4 / 380
= 4
Step3:
LCM(4, 360) = 360
GCD(4, 360) = ( 4 x 360 ) / 360
= 4 / 360
= 4
So, Greatest Common Divisor of 468, 284, 380, 360 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 284, 380, 360
The greatest common divisor of numbers 468, 284, 380, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 284, 380, 360 is 4.
1. What is the GCD of 468, 284, 380, 360?
GCD of given numbers 468, 284, 380, 360 is 4
2. How to calculate the greatest common divisor of 468, 284, 380, 360?
We can find the highest common divisor of 468, 284, 380, 360 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 468, 284, 380, 360 i.e 4.
3. How can I use the GCD of 468, 284, 380, 360Calculator?
Out the numbers 468, 284, 380, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.