Online GCD Calculator is useful to find the GCD of 468, 420, 382, 504 quickly. Get the easiest ways to solve the greatest common divisor of 468, 420, 382, 504 i.e 2 in different methods as follows.
Given Input numbers are 468, 420, 382, 504
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 382 :
The positive integer divisors of 382 that completely divides 382 are.
1, 2, 191, 382
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (468, 420, 382, 504) = 2.
Given numbers are 468, 420, 382, 504
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 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 382 are 2 x 191
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 468, 420, 382, 504 is 2.
Given numbers are 468, 420, 382, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 420) = 16380
GCD(468, 420) = ( 468 x 420 ) / 16380
= 468 / 420
= 468
Step2:
LCM(12, 382) = 2292
GCD(12, 382) = ( 12 x 382 ) / 2292
= 12 / 382
= 12
Step3:
LCM(2, 504) = 504
GCD(2, 504) = ( 2 x 504 ) / 504
= 2 / 504
= 2
So, Greatest Common Divisor of 468, 420, 382, 504 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 420, 382, 504
The greatest common divisor of numbers 468, 420, 382, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 420, 382, 504 is 2.
1. What is the GCD of 468, 420, 382, 504?
GCD of given numbers 468, 420, 382, 504 is 2
2. How to calculate the greatest common divisor of 468, 420, 382, 504?
We can find the highest common divisor of 468, 420, 382, 504 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, 420, 382, 504 i.e 2.
3. How can I use the GCD of 468, 420, 382, 504Calculator?
Out the numbers 468, 420, 382, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.